To control of dynamic of few-body systems in external fields the normalization algorithms and quantization schemes of polynomial Hamiltonians have been realized, the new schemes of solving evolution problems were built up, the effective numerical schemes of solving the three-body quantum problem have been constructed(Jointly with V. L. Derbov, N. A. Chekanov, V. A. Rostovtsev, A. A. Gusev, V. V. Serov,
O. Chulunbaatar, M. S. Kaschiev ets.).
Main publications:
V. L. Derbov, L. A. Melnikov, I. M. Umansky, S. I. Vinitsky, “Multi-pulse laser spectroscopy of : Measurement and control of the metastable state Populations”, Phys. Rev. A, 55 (1997), 3394–3400
V. V. Serov, V. L. Derbov, B. Joulakian, S. I. Vinitsky, “Wave packet evolution approach to ionization of hydrogen molecular ion atoms by fast electrons”, Phys. Rev. A, 63 (2000), 062711-1-8
A. G. Abrashkevich, M. S. Kaschiev, and S. I. Vinitsky, “A New Method for Solving an Eigenvalue Problem for a System of Three Coulomb Particles within the Hyperspherical Adiabatic Representation”, Journal of Computational Physics, 163 (2000), 328–348
O. Chuluunbaatar, A.A. Gusev, V.L. Derbov, M.S. Kaschiev, L.A. Melnikov, V.V. Serov and S.I. Vinitsky, “Calculation of a hydrogen atom photoionization in a strong magnetic field by using the angular oblate spheroidal functions”, J. Phys. A, 40 (2007), 11485–11524
O. Chuluunbaatar, V.L. Derbov, A. Galtbayar, A.A. Gusev, M.S. Kaschiev, S.I. Vinitsky and T. Zhanlav, “Explicit Magnus expansions for time-dependent Schroedinger equation”, J. Phys. A, 41 (2008), 295203-1–25
