. . . Development of the novel methods of quantum mechanical calculations and application of them to the precise calculations of various atomic and molecular properties. For the past five years we have been working on the improvement of many-body perturbation theory methods based on the generalization of Sturm expansions to many-electron systems. The developed approach makes it possible to obtain the full sets of Sturm-Hartree-Fock virtual orbitals belonging to pure discrete spectrum. So we can avoid the troubles connected with the integration over the continuum of intermediate states. The convergence of the remaining expansions have been proved to be very rapid. As result all calculations become extremely simple and hence more reliable than the calculations based on the convential approach. The developed methods have been used for calculation of various atomic properties. The another direction of our work is development of improved methods of summation of divergent series in quantum-mechanical perurbation theory, based partially on dynamical symmetry of the systems.
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Back to A. I. Sherstyuk.
Designed by A. Sergeev.