quantum mechanics,
dynamical systems theory,
mathematical simulation.
Subject:
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.).
Biography
Graduated from Faculty of Physics of M. V. Lomonosov Moscow State University (MSU) in 1973 (department of atomic nucleus theory). Ph.D. thesis was defended in 1979. D.Sci. thesis was defended in 1992. Leading researcer of Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research. A list of my works contains more than 200 titles.
In 1987 I was awarded the prize of the Joint Institute for Nuclear Research for a series of papers on constructing methods of solving the quantum mechanics three-body problem and its application in the muon catalysis problem of the nuclear fusion reactions (jointly with I. V. Puzynin et al.).
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
S. I. Vinitsky, A. A. Gusev, V. L. Derbov, P. M. Krasovitskii, F. M. Pen'kov, G. Chuluunbaatar, “Reduced SIR model of COVID-19 pandemic”, Zh. Vychisl. Mat. Mat. Fiz., 61:3 (2021), 400–412; Comput. Math. Math. Phys., 61:3 (2021), 376–387
Yu. V. Popov, K. A. Kouzakov, A. Bulychev, S. I. Vinitsky, “Theory of quasielastic atomic reactions in the presence of an alternating electric field”, TMF, 186:1 (2016), 113–122; Theoret. and Math. Phys., 186:1 (2016), 93–100
A. A. Gusev, S. I. Vinitsky, O. Chuluunbaatar, V. L. Derbov, A. Gozdz, P. M. Krasovitskii, “Metastable states of a composite system tunneling through repulsive barriers”, TMF, 186:1 (2016), 27–50; Theoret. and Math. Phys., 186:1 (2016), 21–40
V. L. Derbov, V. V. Serov, S. I. Vinitsky, A. A. Gusev, O. Chuluunbaatar, E. M. Kazaryan, H. A. Sarkisyan, “On solving the low-dimensional boundary value problems of quantum mechanics by Kantorovich method - reduction to ordinary differential equations”, Izv. Sarat. Univ. Physics, 10:1 (2010), 4–17
V. V. Serov, V. P. Kadgaeva, V. L. Derbov, S. I. Vinitsky, “Classical analysis of recombination of antihydrogen in a strong magnetic field”, Izv. Sarat. Univ. Physics, 5:1 (2005), 84–91
2004
6.
V. V. Sokolovskii, Yu. M. Popov, A. A. Gusev, S. I. Vinitsky, “Zero-range potentials as an algorithm for solution of quantum scattering problems”, Num. Meth. Prog., 5:1 (2004), 83–95
1990
7.
S. I. Vinitsky, V. L. Derbov, V. M. Dubovik, B. L. Markovski, Yu. P. Stepanovskii, “Topological phases in quantum mechanics and polarization optics”, UFN, 160:6 (1990), 1–49; Phys. Usp., 33:6 (1990), 403–428
L. N. Bogdanova, S. I. Vinitsky, S. S. Gershtein, D. L. Demin, D. I. Kazakov, V. I. Korobov, V. A. Matveev, V. S. Melezhik, Yu. Ts. Oganessian, V. A. Rubakov, A. A. Yukhimchuk, M. P. Faifman, “In memory of Leonid Ivanovich Ponomarev”, UFN, 190:4 (2020), 447–448; Phys. Usp., 63:4 (2020), 412–413
9.
S. Gershtein, V. Brudanin, V. Bednyakov, M. Sapozhnikov, D. Demin, V. Grebenyuk, A. Konin, M. Omelyanenko, A. Rudenko, S. I. Vinitsky, V. Melezhik, M. Faifman, V. Dubovik, G. Dudkin, F. Penkov, “In memory of Bystritskii Vyacheslav Mikhailovich”, UFN, 0
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