Record 1 of 65
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|
| Author(s):
| Popov VS; Mur VD; Karnakov BM
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| Title:
| The imaginary-time method for relativistic problems
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| Source:
| JETP LETTERS 1997, Vol 66, Iss 4, pp 229-235
|
| Addresses:
| Popov VS, INST THEORET & EXPT PHYS, MOSCOW 117218, RUSSIA.
MOSCOW ENGN PHYS INST, MOSCOW 115409, RUSSIA.
|
| Abstract:
| A relativistic version of the imaginary-time method is presented. The method is used to calculate the probability w of ionization of a bound state by electric and magnetic fields of various configurations (including the case when the binding energy E-b is comparable to mc(2)). The formulas cover as limiting cases both the ionization of nonrelativistic bound systems (atoms and ions) and the case E-b=2mC(2), when w equals the probability of electron-positron pair production from the vacuum in the presence of a strong field. (C) 1997 American Institute of Physics.
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| Times Cited:
| 0
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| Source item page count:
| 7
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| Publication Date:
| AUG 25
|
| IDS No.:
| XY034
|
| 29-char source abbrev:
| JETP LETT-ENGL TR
|
Record 2 of 65
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|
| Author(s):
| Popov VS; Karnakov BM; Mur VD
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| Title:
| Quasiclassical theory of atomic ionization in electric and magnetic fields
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| Source:
| PHYSICS LETTERS A 1997, Vol 229, Iss 5, pp 306-312
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| Addresses:
| Popov VS, INST THEORET & EXPT PHYS, RU-117259 MOSCOW, RUSSIA.
MOSCOW STATE PHYS ENGN INST, RU-115409 MOSCOW, RUSSIA.
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| Author Keywords:
| ionization of atoms; quasiclassics; imaginary time method
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| KeywordsPlus:
| ORDER PERTURBATION-THEORY; HYDROGEN-ATOM; MULTIDIMENSIONAL PROBLEMS; RYDBERG ATOMS; 1/N-EXPANSION; THRESHOLD
|
| Abstract:
| Using the ''imaginary time'' method we have calculated (in the quasiclassical approximation) the probability of ionization of the atomic s-state in static electric and magnetic fields. The Coulomb interaction between the emitted electron and the atomic remainder is taken into account. The results obtained are valid for external fields E and H which are smaller than characteristic atomic fields. The case of mutually orthogonal fields (the Lorentz ionization) is carefully studied. (C) 1997 Elsevier Science B.V.
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| Times Cited:
| 0
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| Source item page count:
| 7
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| Publication Date:
| MAY 26
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| IDS No.:
| XA531
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| 29-char source abbrev:
| PHYS LETT A
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Record 3 of 65
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| Author(s):
| Karnakov BM; Mur VD; Popov VS
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| Title:
| Contribution to the theory of Lorentzian ionization
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| Source:
| JETP LETTERS 1997, Vol 65, Iss 5, pp 405-411
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| Addresses:
| Karnakov BM, TECH UNIV, MOSCOW ENGN PHYS INST, MOSCOW 115409, RUSSIA.
INST THEORET & EXPT PHYS, MOSCOW 117259, RUSSIA.
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| Abstract:
| The probability w(L) of Lorentzian ionization, which arises when an atom or ion moves in a constant magnetic held, is calculated in the quasiclassical approximation. The nonrelativistic (upsilon less than or similar to e(2)/(h) over bar = 1, upsilon is the velocity of the atom) and ultrarelativistic (upsilon --> c = 137) cases are examined and the stabilization factor S, which takes account of the effect of the magnetic field on tunneling of an electron, is found. (C) 1997 American Institute of Physics.
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| Times Cited:
| 1
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| Source item page count:
| 7
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| Publication Date:
| MAR 10
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| IDS No.:
| WT775
|
| 29-char source abbrev:
| JETP LETT-ENGL TR
|
Record 6 of 65
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| Author(s):
| Popov VS; Karnakov BM; Mur VD
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| Title:
| 1/n-expansion for asymptotic coefficients of radial wave functions in quantum mechanics
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| Source:
| PHYSICS LETTERS A 1996, Vol 224, Iss 1-2, pp 15-21
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| Addresses:
| Popov VS, UNIV BERN, INST THEORET PHYS, SIDLERSTR 5, CH-3012 BERN, SWITZERLAND.
MOSCOW ENGN PHYS INST, MOSCOW 115409, RUSSIA.
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| Author Keywords:
| 1/n expansion; asymptotic coefficients; power-law potentials
|
| KeywordsPlus:
| LARGE-N EXPANSIONS
|
| Abstract:
| Using the 1/n-expansion, we obtain analytic formulae for the bound state radial wave functions, including its asymptotic coefficients at r --> 0 and r --> infinity, for an arbitrary smooth potential V(r). The formulae are asymptotically exact in the limit n( )r--> infinity (n = n(r) + l + 1 is the principal quantum number and the expansion parameter is 1/n). Comparison with exact solutions and numerical calculations for the power-law and short-range potentials show that the applicability region of these formulae is usually prolonged up to small quantum numbers, n similar to 1. With growing n(r), the accuracy of the formulae decreases, but the WKB method becomes applicable in this case.
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| Times Cited:
| 0
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| Source item page count:
| 7
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| Publication Date:
| DEC 30
|
| IDS No.:
| WB074
|
| 29-char source abbrev:
| PHYS LETT A
|
Record 7 of 65
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|
| Author(s):
| Popov VS; Karnakov BM; Mur VD
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| Title:
| A model-independent description of dt and d(3)He systems near low-energy resonances
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| Source:
| HYPERFINE INTERACTIONS 1996, Vol 102, pp 401-411
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| Addresses:
| Popov VS, INST THEORET & EXPT PHYS, MOSCOW 117259, RUSSIA.
MOSCOW ENGN PHYS INST, MOSCOW 115409, RUSSIA.
|
| Abstract:
| The effective range expansion is used to obtain a model-independent description of dt and d(3)He systems in the vicinity of the low-energy resonances He-5*(3/2(+)) and Li-5* (3/2(+)). The Coulomb-modified nuclear scattering lengths a(cs) and effective ranges r(cs) with angular momentum l = 0 as well as the astrophysical function s(E) are calculated from the modern experimental data for cross sections of the dt --> na and d(3)He --> p alpha per fusion reactions in the vicinity of the resonances. To this end the generalization of the Smorodinsky formula for effective range to the case of potentials with the Coulomb barrier, as well as the phase analysis of the elastic n alpha-scattering near the resonance He-5* (3/2(+)), are essentially used. The analytical structure of the scattering amplitudes in presence of absorption in the system is studied. Two series of the Coulomb poles of the dt-scattering amplitude in the complex k-plane, condensing to the elastic threshold, are found.
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| Times Cited:
| 0
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| Source item page count:
| 11
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| IDS No.:
| VX559
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| 29-char source abbrev:
| HYPERFINE INTERACTIONS
|
Record 8 of 65
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| Author(s):
| Mur VD; Popov VS; Sergeev AV
|
| Title:
| Coulomb corrections to scattering lengths and effective ranges for l not equal 0
|
| Source:
| PHYSICS OF ATOMIC NUCLEI 1996, Vol 59, Iss 11, pp 1888-1894
|
| Addresses:
| , INST THEORET & EXPT PHYS, STATE RES CTR, MOSCOW 117259, RUSSIA.
|
| Abstract:
| Coulomb corrections to the low-energy scattering parameters (scattering lengths and effective ranges) of states with nonzero orbital angular momentum are studied. The greatest attention is paid to the case of the p wave. Resonance scattering is considered for a system with a shallow nuclear bound or quasistationary (resonance) p level. Coulomb corrections are calculated numerically, and their dependence on the shape of the strong-interaction potential-in particular, on its short-distance behavior-is studied in detail.
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| Times Cited:
| 0
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| Source item page count:
| 7
|
| Publication Date:
| NOV
|
| IDS No.:
| VU620
|
| 29-char source abbrev:
| PHYS ATOM NUCL-ENGL TR
|
Record 10 of 65
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|
| Author(s):
| Popov VS; Sergeev AV
|
| Title:
| Effect of a magnetic field on the ionization of atoms
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| Source:
| JETP LETTERS 1996, Vol 63, Iss 6, pp 417-422
|
| Addresses:
| Popov VS, INST THEORET & EXPTL PHYS, MOSCOW 117259, RUSSIA.
SI VAVILOV STATE OPT INST, ST PETERSBURG 199034, RUSSIA.
|
| KeywordsPlus:
| PERTURBATION-THEORY; LARGE-ORDER
|
| Abstract:
| The ionization probability of an atomic s state under the action of static electric and magnetic fields is calculated taking into account the Coulomb interaction between the escaping electron and the atomic core. The structure of the perturbation series for the energy of the level is investigated and the asymptotic behavior of the higher orders of the perturbation theory is found. (C) 1996 American Institute of Physics.
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| Times Cited:
| 4
|
| Source item page count:
| 6
|
| Publication Date:
| MAR 25
|
| IDS No.:
| UM315
|
| 29-char source abbrev:
| JETP LETT-ENGL TR
|
Record 11 of 65
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|
| Author(s):
| Mur VD; Popov VS; Sergeev AV
|
| Title:
| Coulomb corrections to nuclear scattering lengths and effective ranges for weakly bound systems
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| Source:
| PHYSICS OF ATOMIC NUCLEI 1996, Vol 59, Iss 1, pp 62-71
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| Addresses:
| , STATE RES CTR, INST THEORET & EXPTL PHYS, MOSCOW 117259, RUSSIA.
|
| KeywordsPlus:
| 1/N EXPANSION; EIGENVALUES; POTENTIALS; LEVEL
|
| Abstract:
| A procedure is considered for extracting the purely nuclear scattering length a(s) and effective range r(s) (which correspond to a strong-interaction potential V-s with disregarded Coulomb interaction) from the experimentally determined nuclear quantities a(cs) and r(cs), which are modified by Coulomb interaction. The Coulomb renormalization of a(s) and r(s) is especially strong if the system under study involves a level with energy close to zero (on the nuclear scale). This applies to formulas that determine the Coulomb renormalization of the low-energy parameters of s scattering (l=0). Detailed numerical calculations are performed for coefficients appearing in the equations that determine Coulomb corrections for various models of the potential V-s(r). This makes it possible to draw qualitative conclusions about the dependence of Coulomb corrections on the form of the strong-interaction potential and, in particular, on its small-distance behavior. A considerable enhancement of Coulomb corrections to the effective range r(s) is found for potentials with a barrier.
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| Times Cited:
| 0
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| Source item page count:
| 10
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| Publication Date:
| JAN
|
| IDS No.:
| TT600
|
| 29-char source abbrev:
| PHYS ATOM NUCL-ENGL TR
|
Record 12 of 65
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|
| Author(s):
| Popov VS; Karnakov BM; Mur VD
|
| Title:
| On matching conditions in the WKB method
|
| Source:
| PHYSICS LETTERS A 1996, Vol 210, Iss 6, pp 402-408
|
| Addresses:
| Popov VS, INST THEORET & EXPTL PHYS, MOSCOW 117259, RUSSIA.
MOSCOW ENGN PHYS INST, MOSCOW 115409, RUSSIA.
|
| Abstract:
| The modified matching conditions for quasiclassical wave functions on both sides of a turning point for the radial Schrodinger equation have been obtained. They differ significantly from the usual Kramers condition which holds for the one-dimensional case. Namely, the ratio C-2/C-1 in the subbarrier and the classical allowed regions is not a universal constant (C-2/C-1 = 1/2, as usual), but depends on the values of the orbital angular momentum I, energy E and on the behaviour of the potential V(r) at r --> 0. The comparison with exact and numerical solutions of the Schrodinger equation shows that the modified matching conditions not only make the quasiclassical approximation in the subbarrier region asymptotically exact within the n --> infinity limit, but also considerably enhances its accuracy even in the case of small quantum numbers, n similar to 1. The power-law, funnel and short-range potentials are considered in detail.
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| Times Cited:
| 5
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| Source item page count:
| 7
|
| Publication Date:
| JAN 22
|
| IDS No.:
| TR543
|
| 29-char source abbrev:
| PHYS LETT A
|
Record 13 of 65
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|
| Author(s):
| KARNAKOV BM; MUR VD; POPOV VS
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| Title:
| CONDITIONS OF JOINING IN THE BKB TECHNIQUE
|
| Source:
| ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI 1995, Vol 107, Iss 6, pp 1768-1779
|
| Addresses:
| KARNAKOV BM, INT PHYS INST, MOSCOW 125040, RUSSIA.
MOSCOW ENGN PHYS INST, MOSCOW 115409, RUSSIA.
MOSCOW THEORET & EXPTL PHYS INST, MOSCOW 117259, RUSSIA.
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| Times Cited:
| 0
|
| Source item page count:
| 12
|
| Publication Date:
| JUN
|
| IDS No.:
| RM919
|
| 29-char source abbrev:
| ZH EKSP TEOR FIZ
|
Record 14 of 65
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|
| Author(s):
| MUR VD; POPOV VS
|
| Title:
| PERTURBATION-THEORY FOR QUASI-STATIONARY STATES
|
| Source:
| PHYSICS OF ATOMIC NUCLEI 1995, Vol 58, Iss 8, pp 1329-1341
|
| Addresses:
| , INST THEORET & EXPTL PHYS, STATE RES CTR, MOSCOW 117259, RUSSIA.
|
| KeywordsPlus:
| QUANTIZATION RULES; APPROXIMATION
|
| Abstract:
| Perturbation theory (to the first order) for quasistationary states is developed in the semiclassical approximation. Formulas for the energy shift delta E, of a resonance, as well as for the variation of its width delta Gamma due to a perturbative potential delta U, are obtained. These formulas are valid both for subbarrier and above barrier resonances. The results are illustrated using a number of potentials for which semiclassical expressions can be compared with exact solutions of the Schrodinger equation. The proposed scheme is generalized to a multidimensional case with completely separating variables.
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| Times Cited:
| 0
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| Source item page count:
| 13
|
| Publication Date:
| AUG
|
| IDS No.:
| RU385
|
| 29-char source abbrev:
| PHYS ATOM NUCL-ENGL TR
|
Record 15 of 65
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|
| Author(s):
| KARNAKOV BM; MUR VD; POPOV VS
|
| Title:
| 1/N-DECOMPOSITION OF WAVE-FUNCTIONS
|
| Source:
| ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI 1994, Vol 106, Iss 4, pp 976-992
|
| Addresses:
| KARNAKOV BM, MOSCOW ENGN PHYS INST, MOSCOW 115409, RUSSIA.
INT PHYS INST, MOSCOW 125040, RUSSIA.
MOSCOW THEORET & EXPTL PHYS INST, MOSCOW 117259, RUSSIA.
|
| KeywordsPlus:
| SHIFTED 1/N EXPANSIONS; PERTURBATION-THEORY; QUANTUM-MECHANICS; SCHRODINGER-EQUATION; 1/N-EXPANSION; CHARMONIUM; SYSTEMS; FIELD; MODEL
|
| Times Cited:
| 3
|
| Source item page count:
| 17
|
| Publication Date:
| OCT
|
| IDS No.:
| PQ455
|
| 29-char source abbrev:
| ZH EKSP TEOR FIZ
|
Record 16 of 65
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|
| Author(s):
| POPOV VS; MUR VD; SERGEEV AV
|
| Title:
| THEORY OF STARK-EFFECT IN THE STRONG-FIELD - CRITICAL FIELDS, ABOVE-BARRIER RESONANCES, DEPENDENCE ON DIMENSIONAL SCALING
|
| Source:
| ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI 1994, Vol 106, Iss 4, pp 1001-1030
|
| Addresses:
| POPOV VS, INT PHYS INST, MOSCOW 125040, RUSSIA.
MOSCOW THEORET & EXPTL PHYS INST, MOSCOW 117259, RUSSIA.
MOSCOW ENGN PHYS INST, MOSCOW 115409, RUSSIA.
SI VAVILOV STATE OPT INST, ST PETERSBURG 199034, RUSSIA.
|
| KeywordsPlus:
| QUASI-STATIONARY STATES; UNIFORM ELECTRIC-FIELD; HYDROGEN-ATOM; PERTURBATION-THEORY; INTERFERENCE PHENOMENA; TUNNELING IONIZATION; RYDBERG ATOMS; LASER FIELD; HIGH ORDERS; 1/N-EXPANSION
|
| Times Cited:
| 0
|
| Source item page count:
| 30
|
| Publication Date:
| OCT
|
| IDS No.:
| PQ455
|
| 29-char source abbrev:
| ZH EKSP TEOR FIZ
|
Record 17 of 65
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|
| Author(s):
| POPOV VS; MUR VD; SERGEEV AV
|
| Title:
| CRITICAL ELECTRIC-FIELDS AND STARK RESONANCES IN THE HYDROGEN-ATOM
|
| Source:
| PHYSICS LETTERS A 1994, Vol 193, Iss 2, pp 159-164
|
| Addresses:
| POPOV VS, INST THEORET & EXPTL PHYS, MOSCOW 117259, RUSSIA.
INT INST PHYS, MOSCOW 125040, RUSSIA.
MOSCOW PHYS ENGN INST, MOSCOW 115409, RUSSIA.
SI VAVILOV STATE OPT INST, ST PETERSBURG 199034, RUSSIA.
|
| KeywordsPlus:
| TUNNELING IONIZATION; QUANTIZATION RULES; LASER FIELD; PHOTOIONIZATION; 1/N-EXPANSION; STATES
|
| Abstract:
| The exact values of critical electric fields E(c) for different states of a hydrogen atom, including its ground state, as well as the widths Gamma(n) of the Stark resonances at E = E(c), are calculated (at E=E(c)(n(1), n(2), m) the potential barrier for an electron in the (n(1), n(2), m) state disappears). Using the modified quantization condition with barrier penetrability included, we explain the dependence of Gamma(n) on the principal quantum number n.
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| Times Cited:
| 3
|
| Source item page count:
| 6
|
| Publication Date:
| SEP 26
|
| IDS No.:
| PH692
|
| 29-char source abbrev:
| PHYS LETT A
|
Record 18 of 65
|
|
| Author(s):
| POPOV VS; SERGEEV AV
|
| Title:
| LARGE ORDERS OF 1/N-EXPANSION FOR MULTIDIMENSIONAL PROBLEMS
|
| Source:
| PHYSICS LETTERS A 1994, Vol 193, Iss 2, pp 165-172
|
| Addresses:
| POPOV VS, INST THEORET & EXPTL PHYS, MOSCOW 117259, RUSSIA.
INT INST PHYS, MOSCOW 125040, RUSSIA.
SI VAVILOV STATE OPT INST, ST PETERSBURG 199034, RUSSIA.
|
| KeywordsPlus:
| PERTURBATION-THEORY; QUANTUM-MECHANICS; STRONG-FIELD
|
| Abstract:
| The asymptotics of large orders of the 1/n-expansion is investigated for multidimensional problems of quantum mechanics and atomic physics, including those with separable variables (the hydrogen molecular ion H-2(+)), and those where separation of variables is impossible (a hydrogen atom in electric and magnetic fields). It is shown that the parameters of the asymptotics can be found by means of calculating sub-barrier trajectories with the help of the ''imaginary time'' method, as well as by solution of the eikonal equation.
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| Times Cited:
| 6
|
| Source item page count:
| 8
|
| Publication Date:
| SEP 26
|
| IDS No.:
| PH692
|
| 29-char source abbrev:
| PHYS LETT A
|
Record 19 of 65
|
|
| Author(s):
| POPOV VS; MUR VD; SERGEEV AV
|
| Title:
| CRITICAL FIELDS AND ABOVE-BARRIER STARK RESONANCES
|
| Source:
| JETP LETTERS 1994, Vol 59, Iss 3, pp 158-162
|
| Addresses:
| POPOV VS, MOSCOW THEORET & EXPTL PHYS INST, MOSCOW 117259, RUSSIA.
MOSCOW ENGN PHYS INST, MOSCOW 115409, RUSSIA.
SI VAVILOV STATE OPT INST, ST PETERSBURG 199034, RUSSIA.
|
| KeywordsPlus:
| QUANTIZATION RULES; 1/N-EXPANSION
|
| Abstract:
| Exact values of the critical field E(c) are calculated for a hydrogen atom, including the case of the ground state. The widths GAMMA(n) of Stark resonances at E = E(c) are also calculated. In the above-barrier region (E > E(c)) the widths GAMMA(n)(E) are essentially linear functions of the electric field strength.
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| Times Cited:
| 3
|
| Source item page count:
| 5
|
| Publication Date:
| FEB 10
|
| IDS No.:
| NC978
|
| 29-char source abbrev:
| JETP LETT-ENGL TR
|
Record 20 of 65
|
|
| Author(s):
| POPOV VS; MUR VD
|
| Title:
| PERTURBATION-THEORY FOR QUASI-STATIONARY LEVELS
|
| Source:
| JETP LETTERS 1994, Vol 60, Iss 1, pp 66-70
|
| Addresses:
| POPOV VS, INST THEORET & EXPTL PHYS, 117259 MOSCOW, RUSSIA.
INT PHYS INST, 125040 MOSCOW, RUSSIA.
MOSCOW STATE ENGN PHYS INST, 115409 MOSCOW, RUSSIA.
|
| KeywordsPlus:
| QUANTIZATION RULES; STATES
|
| Abstract:
| A perturbation-theory formula is derived for the energies of quasistationary states (resonances) in the semiclassical approximation. This formula is valid for resonances either below or above the barrier. It is illustrated for several potentials, for which a comparison can be made with exact solutions.
|
| Times Cited:
| 0
|
| Source item page count:
| 5
|
| Publication Date:
| JUL 10
|
| IDS No.:
| PD159
|
| 29-char source abbrev:
| JETP LETT-ENGL TR
|
Record 21 of 65
|
|
| Author(s):
| POPOV VS; SERGEEV AV; MUR VD; SHCHEBLYKIN AV
|
| Title:
| ON THE ASYMPTOTICS OF HIGH-ORDER TERMS OF THE 1/N EXPANSION
|
| Source:
| PHYSICS OF ATOMIC NUCLEI 1994, Vol 57, Iss 6, pp 1057-1065
|
| Addresses:
| POPOV VS, INST THEORET & EXPTL PHYS, MOSCOW, RUSSIA.
|
| KeywordsPlus:
| PERTURBATION-THEORY; QUANTUM-MECHANICS; STRONG-FIELD; 1/N-EXPANSION; HYDROGEN
|
| Abstract:
| Analytic and numerical methods for determining the asymptotics of high-order terms of the 1/n expansion in quantum-mechanical problems are developed. It is shown that this asymptotics is always of the factorial type. The dependence of parameters of the asymptotics on the form of the potential and on the coupling constant is especially analyzed in the vicinity of the point of collision of classical solutions.
|
| Times Cited:
| 0
|
| Source item page count:
| 9
|
| Publication Date:
| JUN
|
| IDS No.:
| NW247
|
| 29-char source abbrev:
| PHYS ATOM NUCL-ENGL TR
|
Record 22 of 65
|
|
| Author(s):
| MUR VD; KARNAKOV BM; POZDNYAKOV SG; POPOV VS
|
| Title:
| N-ALPHA SCATTERING IN THE VICINITY OF THE HE-5-ASTERISK RESONANCE
|
| Source:
| PHYSICS OF ATOMIC NUCLEI 1994, Vol 57, Iss 5, pp 769-774
|
| Addresses:
| MUR VD, MOSCOW INST ENGN PHYS, KASHIRSKOE SH 31, MOSCOW 115409, RUSSIA.
|
| KeywordsPlus:
| ENERGY
|
| Abstract:
| The amplitude of nalpha scattering in the vicinity of the He-5(*) (3/2+) resonance is expressed in terms of the scattering length and effective range of the dt system. The total cross section of scattering near the threshold of the dt channel is compared with experimental data. It is shown that the phase shift analysis of elastic nalpha scattering at these energies is an effective method for choosing the low-energy parameters of the dt system.
|
| Times Cited:
| 1
|
| Source item page count:
| 6
|
| Publication Date:
| MAY
|
| IDS No.:
| NR711
|
| 29-char source abbrev:
| PHYS ATOM NUCL-ENGL TR
|
Record 23 of 65
|
|
| Author(s):
| POPOV VS; SERGEEV AV
|
| Title:
| ASYMPTOTICS OF THE HIGHEST ORDERS OF 1-N-DECOMPOSITION FOR MULTIDIMENSIONAL PROBLEMS
|
| Source:
| ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI 1994, Vol 105, Iss 3, pp 568-591
|
| Addresses:
| POPOV VS, MOSCOW THEORET & EXPTL PHYS INST, MOSCOW 117259, RUSSIA.
SI VAVILOV STATE OPT INST, ST PETERSBURG 199164, RUSSIA.
|
| KeywordsPlus:
| EXPONENTIALLY SMALL TERMS; PERTURBATION-THEORY; QUANTUM-MECHANICS; HYDROGEN-ATOM; 1/R EXPANSION; STRONG-FIELD; 1/N-EXPANSION; H2+
|
| Times Cited:
| 1
|
| Source item page count:
| 24
|
| Publication Date:
| MAR
|
| IDS No.:
| NE470
|
| 29-char source abbrev:
| ZH EKSP TEOR FIZ
|
Record 24 of 65
|
|
| Author(s):
| MUR VD; POPOV VS; SIMONOV YA; YUROV VP
|
| Title:
| DESCRIPTION OF RELATIVISTIC HEAVY-LIGHT QUARK-ANTIQUARK SYSTEMS VIA DIRAC-EQUATION
|
| Source:
| ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI 1994, Vol 105, Iss 1, pp 3-27
|
| Addresses:
| MUR VD, MOSCOW THEORET & EXPTL PHYS INST, MOSCOW 117259, RUSSIA.
|
| KeywordsPlus:
| RESONANCE PHYSICS; GLUON CONDENSATE; QCD; CONFINEMENT; MESONS; FIELDS; LOOP
|
| Abstract:
| Starting from the QCD Lagrangian and taking into account both perturbative and nonperturbative effects, we use the method of vacuum correlators to derive the Dirac equation (rigorously for the Coulomb interaction and heuristically for the confining potential) for a system consisting of a light quark and heavy antiquark. As a result the confining potential is a Lorentz scalar, and the Coulomb part is the fourth component of a 4-vector. The energy spectrum of the Dirac equation is considered for these potentials. Numerical calculations of energy eigenvalues E = E(nkappa) are performed, and some exact solutions of the Dirac equation in the case E = 0 are found. An effective-potential method convenient for qualitative study of the solution of the Dirac equation is developed. The connection with experimental spectra of D- and B-mesons is briefly discussed.
|
| Times Cited:
| 1
|
| Source item page count:
| 25
|
| Publication Date:
| JAN
|
| IDS No.:
| NA855
|
| 29-char source abbrev:
| ZH EKSP TEOR FIZ
|
Record 26 of 65
|
|
| Author(s):
| MUR VD; POPOV VS
|
| Title:
| WKB METHOD FOR RESONANCES
|
| Source:
| ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI 1993, Vol 104, Iss 1, pp 2293-2313
|
| Addresses:
| , MOSCOW THEORET & EXPTL PHYS INST, MOSCOW, RUSSIA.
|
| KeywordsPlus:
| ORDER; APPROXIMATION; STATES; ATOMS
|
| Abstract:
| For the potentials with a barrier the analytical continuation of the Bohr - Sommerfeld quantization rule into the region of overbarrier resonances is derived. The equations obtained are valid for an arbitrary analytical potential satisfying the quasiclassical conditions and determine both the position of resonance E(r) and its width GAMMA. The results are demonstrated for a number of model potentials and also for the Stark effect in a strong field. The energy asymptotic of resonances in the strong coupling regime is found.
|
| Times Cited:
| 2
|
| Source item page count:
| 21
|
| Publication Date:
| JUL
|
| IDS No.:
| LT621
|
| 29-char source abbrev:
| ZH EKSP TEOR FIZ
|
Record 27 of 65
|
|
| Author(s):
| MUR VD; POPOV VS
|
| Title:
| QUANTIZATION RULES FOR ABOVE-BARRIER RESONANCES
|
| Source:
| JETP LETTERS 1993, Vol 57, Iss 7, pp 418-422
|
| Addresses:
| MUR VD, MOSCOW ENGN PHYS INST, MOSCOW 115409, RUSSIA.
RUSSIAN ACAD SCI, INST THEORET & EXPTL PHYS, MOSCOW 117259, RUSSIA.
|
| KeywordsPlus:
| APPROXIMATION; 1/N-EXPANSION
|
| Abstract:
| The Bohr-Sommerfeld quantization condition is analytically continued into the above-barrier region. The result is used to find the asymptotic behavior of the energies of resonances under strong-coupling conditions.
|
| Times Cited:
| 2
|
| Source item page count:
| 5
|
| Publication Date:
| APR 10
|
| IDS No.:
| LG880
|
| 29-char source abbrev:
| JETP LETT-ENGL TR
|
Record 28 of 65
|
|
| Author(s):
| POPOV VS; SERGEEV AV
|
| Title:
| ASYMPTOTIC FORM OF HIGHER ORDERS OF THE 1/N EXPANSION
|
| Source:
| JETP LETTERS 1993, Vol 57, Iss 5, pp 281-285
|
| Addresses:
| POPOV VS, RUSSIAN ACAD SCI, INST THEORET & EXPTL PHYS, MOSCOW 117259, RUSSIA.
SI VAVILOV STATE OPT INST, ST PETERSBURG 199164, RUSSIA.
|
| KeywordsPlus:
| PERTURBATION-THEORY; HYDROGEN-ATOM; STRONG-FIELD; 1/N-EXPANSION
|
| Abstract:
| The asymptotic form of higher orders of the 1/n expansion in quantum mechanics is factorial. The Yukawa potential and the hydrogen atom in electric and magnetic fields are discussed.
|
| Times Cited:
| 0
|
| Source item page count:
| 5
|
| Publication Date:
| MAR 10
|
| IDS No.:
| LA291
|
| 29-char source abbrev:
| JETP LETT-ENGL TR
|
Record 29 of 65
|
|
| Author(s):
| MUR VD; KARNAKOV BM; POZDNYAKOV SG; POPOV VS
|
| Title:
| LOW-ENERGY PARAMETERS OF THE DT AND DHE-3 SYSTEMS
|
| Source:
| PHYSICS OF ATOMIC NUCLEI 1993, Vol 56, Iss 2, pp 217-226
|
| Addresses:
| , MOSCOW THEORET & EXPTL PHYS INST, MOSCOW, RUSSIA.
|
| KeywordsPlus:
| EFFECTIVE-RANGE EXPANSION; CROSS-SECTIONS; SCATTERING
|
| Abstract:
| For resonance Coulomb systems a bound on the effective range r(l)(cs) at the instant of appearance of the l level (a(l)(cs) = infinity) is derived for arbitrary angular momentum. For s states this bound is generalized to the case of finite values of the scattering length. The bound is used to calculate the scattering lengths and effective ranges of the d H-3 and d He-3 systems on the basis of the effective-range expansion and the experimental data on the cross sections for fusion reactions.
|
| Times Cited:
| 0
|
| Source item page count:
| 10
|
| Publication Date:
| FEB
|
| IDS No.:
| KU948
|
| 29-char source abbrev:
| PHYS ATOM NUCL-ENGL TR
|
Record 30 of 65
|
|
| Author(s):
| POPOV VS
|
| Title:
| ON THE THEORY OF THE ABOVE-THE-BARRIER STARK RESONANCES
|
| Source:
| PHYSICS LETTERS A 1993, Vol 173, Iss 1, pp 63-68
|
| Addresses:
| POPOV VS, MOSCOW THEORET & EXPTL PHYS INST, MOSCOW 117259, RUSSIA.
|
| KeywordsPlus:
| HYDROGEN-ATOM; PERTURBATION-THEORY; QUANTUM-MECHANICS; ELECTRIC-FIELD; 1/N-EXPANSION; PHOTOIONIZATION
|
| Abstract:
| A semiclassical 1/n-expansion for the Stark effect in a strong electric field epsilon is considered, which gives simple analytic formulae determining the atomic widths GAMMA(n)(epsilon). It has been shown that there is a range in which the widths of the Stark resonances depend almost linearly on the applied electric field, which agrees with numerical calculations.
|
| Times Cited:
| 5
|
| Source item page count:
| 6
|
| Publication Date:
| JAN 25
|
| IDS No.:
| KJ198
|
| 29-char source abbrev:
| PHYS LETT A
|
Record 31 of 65
|
|
| Author(s):
| POPOV VS; SERGEEV AV; SHCHEBLYKIN AV
|
| Title:
| ON THE STRUCTURE OF LARGE ORDERS IN 1/N-EXPANSION
|
| Source:
| ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI 1992, Vol 102, Iss 5, pp 1453-1468
|
| Addresses:
| POPOV VS, MOSCOW THEORET & EXPTL PHYS INST, MOSCOW, RUSSIA.
SI VAVILOV STATE OPT INST, ST PETERSBURG, RUSSIA.
|
| KeywordsPlus:
| LARGE-N EXPANSIONS; BENDER-WU FORMULA; PERTURBATION-THEORY; QUANTUM-MECHANICS; HYDROGEN-ATOM; STRONG-FIELD
|
| Abstract:
| The asymptotic behaviour of large orders in 1/n-expansion is found for the problems of quantum mechanics. The coefficients of 1/n-expansion epsilon(k) are shown to increase as a factorial k! a(k) at k-->infinity. The a-parameter vs coupling constant dependence is studied. The analytic formulas obtained agree with the numerical calculations. The structure of 1/n-expansion is considered in detail for the Yukawa, Hulten and funnel potentials, as well as for the Stark effect in hydrogen and for the molecular ion H.
|
| Times Cited:
| 7
|
| Source item page count:
| 16
|
| Publication Date:
| NOV
|
| IDS No.:
| KC951
|
| 29-char source abbrev:
| ZH EKSP TEOR FIZ
|
Record 32 of 65
|
|
| Author(s):
| POPOV VS; SERGEEV AV
|
| Title:
| LARGE ORDERS OF THE 1/N EXPANSION IN QUANTUM-MECHANICS
|
| Source:
| PHYSICS LETTERS A 1993, Vol 172, Iss 4, pp 193-198
|
| Addresses:
| POPOV VS, MOSCOW THEORET & EXPTL PHYS INST, MOSCOW 117259, RUSSIA.
|
| KeywordsPlus:
| BENDER-WU FORMULA; PERTURBATION-THEORY; STRONG-FIELD; HYDROGEN; 1/N-EXPANSION
|
| Abstract:
| The asymptotics of large orders of the 1/n expansion in quantum mechanics has been found. It is shown that the coefficients epsilon(k) grow as k!a(k) With k-->infinity, and the dependence of the parameter a on the coupling constant is investigated.
|
| Times Cited:
| 10
|
| Source item page count:
| 6
|
| Publication Date:
| JAN 4
|
| IDS No.:
| KG309
|
| 29-char source abbrev:
| PHYS LETT A
|
Record 33 of 65
|
|
| Author(s):
| MUR VD; KARNAKOV BM; POZDYNAKOV SG; POPOV VS
|
| Title:
| LOW-ENERGY SCATTERING PARAMETERS FOR RESONANCE COULOMB-SYSTEMS
|
| Source:
| JETP LETTERS 1992, Vol 56, Iss 3, pp 127-131
|
| Addresses:
| MUR VD, MOSCOW ENGN PHYS INST, MOSCOW 115409, USSR.
MOSCOW THEORET & EXPTL PHYS INST, MOSCOW 117259, USSR.
|
| KeywordsPlus:
| DT SCATTERING
|
| Abstract:
| A formula for the nuclear-Coulomb effective radius r(l)(sc) has been obtained. This formula can be used for an arbitrary angular moment l and for establishing constraints on the quantity r(l)(cs) which do not depend on the form of the strong potential. The scattering lengths and the effective radii for the lightest hadron systems have been calculated.
|
| Times Cited:
| 0
|
| Source item page count:
| 5
|
| Publication Date:
| AUG 10
|
| IDS No.:
| JT001
|
| 29-char source abbrev:
| JETP LETT-ENGL TR
|
Record 34 of 65
|
|
| Author(s):
| POPOV VS; SHCHEBLYKIN AV
|
| Title:
| HIGHER ORDERS OF THE 1/N EXPANSION AND ITS DIVERGENCE
|
| Source:
| SOVIET JOURNAL OF NUCLEAR PHYSICS-USSR 1991, Vol 54, Iss 6, pp 968-972
|
| Addresses:
| POPOV VS, MOSCOW THEORET & EXPTL PHYS INST, MOSCOW, USSR.
|
| KeywordsPlus:
| CLASSICAL MECHANICS; PERTURBATION-THEORY; QUANTUM-MECHANICS; LIMITS
|
| Abstract:
| A numerical investigation is made of the structure of the higher orders of the 1/n expansion in problems of quantum mechanics (the funnel and Yukawa potentials, and the Stark effect in the hydrogen atom). It is shown that the coefficients-epsilon(k) of the 1/n expansion have a factorial growth in the limit k --> infinity, and their asymptotic form is obtained.
|
| Times Cited:
| 1
|
| Source item page count:
| 5
|
| Publication Date:
| DEC
|
| IDS No.:
| HQ402
|
| 29-char source abbrev:
| SOV J NUCL PHYS-ENGL TR
|
Record 35 of 65
|
|
| Author(s):
| MUR VD; POPOV VS; SERGEEV AV
|
| Title:
| GENERALIZATION OF THE GAMOW FORMULA TO THE MULTIDIMENSIONAL CASE
|
| Source:
| SOVIET JOURNAL OF NUCLEAR PHYSICS-USSR 1991, Vol 54, Iss 4, pp 575-581
|
| Addresses:
| MUR VD, MOSCOW THEORET & EXPTL PHYS INST, MOSCOW, USSR.
|
| KeywordsPlus:
| COUPLED ANHARMONIC OSCILLATORS; ELECTRIC-FIELD; RYDBERG ATOMS; STARK; 1/N-EXPANSION; RESONANCES; HYDROGEN
|
| Abstract:
| A generalization of the Gamow formula for the width GAMMA of a quasistationary level (with energy E = E(r) - i-GAMMA/2) is given for the case of multidimensional systems with separable variables. The condition for applicability of this approximation is obtained, and some examples are considered.
|
| Times Cited:
| 0
|
| Source item page count:
| 7
|
| Publication Date:
| OCT
|
| IDS No.:
| HG786
|
| 29-char source abbrev:
| SOV J NUCL PHYS-ENGL TR
|
Record 36 of 65
|
|
| Author(s):
| KARNAKOV BM; MUR VD; POZDNYAKOV SG; POPOV VS
|
| Title:
| POLES AND RESONANCES IN LOW-ENERGY SCATTERING OF CHARGED-PARTICLES
|
| Source:
| SOVIET JOURNAL OF NUCLEAR PHYSICS-USSR 1991, Vol 54, Iss 2, pp 241-243
|
| Addresses:
| KARNAKOV BM, MOSCOW THEORET & EXPTL PHYS INST, MOSCOW, USSR.
|
| Abstract:
| The scattering length and effective range are determined for the system d He-3, and the positions of the poles of the scattering amplitude in the k plane are calculated. Bounds are obtained for the Coulomb renormalization of the low-energy parameters.
|
| Times Cited:
| 1
|
| Source item page count:
| 3
|
| Publication Date:
| AUG
|
| IDS No.:
| GZ771
|
| 29-char source abbrev:
| SOV J NUCL PHYS-ENGL TR
|
Record 37 of 65
|
|
| Author(s):
| POPOV VS; MUR VD; SERGEEV AV
|
| Title:
| QUANTIZATION RULES WITH ALLOWANCE FOR BARRIER PENETRATION
|
| Source:
| ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI 1991, Vol 100, Iss 1, pp 20-44
|
| Addresses:
| POPOV VS, MOSCOW THEORET & EXPTL PHYS INST, MOSCOW, USSR.
MOSCOW ENGN PHYS INST, MOSCOW, USSR.
SI VAVILOV STATE OPT INST, LENINGRAD, USSR.
|
| KeywordsPlus:
| COUPLED ANHARMONIC OSCILLATORS; UNIFORM ELECTRIC-FIELD; HYDROGEN-ATOM; INTERFERENCE PHENOMENA; VACUUM POLARIZATION; PERTURBATION-THEORY; WKB APPROXIMATION; RYDBERG ATOMS; RESONANCES; STATES
|
| Abstract:
| A correction to the quasiclassical quantization rules is found which is connected with the taking into account of the barrier penetration. The equation derived defines both the position E(r) and width GAMMA of the quasistationary level. The results are compared with numerical solutions of the Schrodinger equation and with the exactly soluble models. A generalization of the Gamov formula for systems with separated variables is obtained. The possibility of extending the results to the relativistic case is discussed.
|
| Times Cited:
| 4
|
| Source item page count:
| 25
|
| Publication Date:
| JUL
|
| IDS No.:
| GC903
|
| 29-char source abbrev:
| ZH EKSP TEOR FIZ
|
Record 38 of 65
|
|
| Author(s):
| KARNAKOV BM; MUR VD; POZDNYAKOV SG; POPOV VS
|
| Title:
| EFFECTIVE-RANGE EXPANSION AND COULOMB RENORMALIZATION IN THE ALPHA ALPHA, DT, AND DHE-3 SYSTEMS
|
| Source:
| JETP LETTERS 1991, Vol 54, Iss 3, pp 127-131
|
| Addresses:
| KARNAKOV BM, MOSCOW ENGN PHYS INST, MOSCOW 115409, USSR.
INST THEORET & EXPTL PHYS, MOSCOW 117259, USSR.
|
| Abstract:
| An expression for the effective range derived here generalizes the Smorodinskii formula to the case of potentials with a Coulomb repulsion and an arbitrary angular momentum l. With increasing charges of the particles, there is an exponential renormalization of the low-energy parameters. These parameters are extracted from experimental data for the dt,dHe-3, and alpha-alpha-systems.
|
| Times Cited:
| 1
|
| Source item page count:
| 5
|
| Publication Date:
| AUG 10
|
| IDS No.:
| GH316
|
| 29-char source abbrev:
| JETP LETT-ENGL TR
|
Record 39 of 65
|
|
| Author(s):
| POPOV VS; MUR VD; SERGEEV AV
|
| Title:
| QUANTIZATION RULES FOR QUASI-STATIONARY STATES
|
| Source:
| PHYSICS LETTERS A 1991, Vol 157, Iss 4-5, pp 185-191
|
| Addresses:
| POPOV VS, MOSCOW THEORET & EXPTL PHYS INST, MOSCOW, USSR.
|
| KeywordsPlus:
| STRONG ELECTRIC-FIELD; HYDROGEN-ATOM; 1/N-EXPANSION
|
| Abstract:
| The modification of the Bohr-Sommerfeld quantization rules, which is due to the barrier penetrability, is found. The equation obtained is valid for an arbitrary analytical potential U(x), obeying the quasiclassical conditions. It determines both the position E(r) and the width-GAMMA of the quasistationary state. A generalization of the Gamow formula for multidimensional systems with separable coordinates is derived. A comparison with exactly solvable models as well as with numerical solutions of the Schrodinger equation for the Stark problem is performed.
|
| Times Cited:
| 10
|
| Source item page count:
| 7
|
| Publication Date:
| JUL 29
|
| IDS No.:
| GA879
|
| 29-char source abbrev:
| PHYS LETT A
|
Record 40 of 65
|
|
| Author(s):
| POPOV VS; MUR VD; SERGEV AV
|
| Title:
| GENERALIZATION OF THE GAMOW FORMULA TO THE MULTIDIMENSIONAL CASE
|
| Source:
| JETP LETTERS 1991, Vol 53, Iss 9, pp 455-458
|
| Addresses:
| POPOV VS, MOSCOW THEORET & EXPTL PHYS INST, MOSCOW 117259, USSR.
MOSCOW ENGN PHYS INST, MOSCOW 115409, USSR.
SI VAVILOV STATE OPT INST, LENINGRAD 199034, USSR.
|
| Abstract:
| The Gamow formula for a level width is generalized to the case of multidimensional systems with separable variables. A condition for the applicability of this approximation is found.
|
| Times Cited:
| 0
|
| Source item page count:
| 4
|
| Publication Date:
| MAY 10
|
| IDS No.:
| GA007
|
| 29-char source abbrev:
| JETP LETT-ENGL TR
|
Record 41 of 65
|
|
| Author(s):
| KARNAKOV BM; MUR VD; POZDNYAKOV SG; POPOV VS
|
| Title:
| EFFECTIVE-RANGE EXPANSION FOR DT SCATTERING AND THE DT-]N-ALPHA FUSION REACTION
|
| Source:
| SOVIET JOURNAL OF NUCLEAR PHYSICS-USSR 1990, Vol 52, Iss 6, pp 973-983
|
| Addresses:
| KARNAKOV BM, STATE ATOM ENERGY COMMISS, INST THEORET & EXPTL PHYS, MOSCOW, USSR.
MOSCOW ENGN PHYS INST, MOSCOW, USSR.
|
| Abstract:
| Using the effective-range expansion, we obtain a model-independent description of dt scattering near the elastic threshold, and also of the dt --> n-alpha fusion reaction. The nuclear-Coulomb scattering length a(cs) and the effective range r(cs) are obtained from experimental data on the reaction cross section and on the elastic-scattering differential cross section. We study the analytic structure of the S matrix and find the positions of its poles due to the existence of a low-energy resonance He-5*(3/2+) and to the Coulomb interaction. The relationship to various model descriptions of the dt system is discussed.
|
| Times Cited:
| 4
|
| Source item page count:
| 11
|
| Publication Date:
| DEC
|
| IDS No.:
| FN058
|
| 29-char source abbrev:
| SOV J NUCL PHYS-ENGL TR
|