public

Sergue I. Vinitsky

Position:

Leading Researcher of Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia.

Professor of Chair of Applied Informatics and probability theory, RUDN University, Moscow, Russia (2014);

Editor-in-Chief of Journal Mathematical Modelling and Geometry

Specialization: Theoretical and Computational Physics

Research areas:

Computer modeling of quantum few-body scattering processes,

spectral and optical characteristics of low-dimensional quantum systems,

collective nuclear models.

Methods, algorithms and software

to solve multichannel scattering and eigenvalue problems.

Honors:

First JINR Prize (1987)

“Methods of solving the quantum mechanics three-body problem and its application in the muon catalysis problem of the nuclear fusion reactions”.

Second JINR Prize (2015)

“Problem-oriented complex of programs for solving boundary value problems in the dynamics of few-body quantum systems”.

Honorary Doctor of Department of Mathematics and Informatics, National University of Mongolia, Ulaanbaatar, Mongolia (2011)

Honorary Professor of Russian-Armenian (Slavonic) University, Yerevan, Armenia (2014)

Education:

Graduated from Moscow State University (1973)

Doctor of Phys. and Math. Science (1992)

Professor of the Chair of General Mathematics and Mathematical Physics (1996)

List of scientific papers published in refereed journals

1. А.А. Гусев, С.И. Виницкий, О. Чулуунбаатар, В.Л. Дербов, А. Гуждж, П.М. Красовицкий, Метастабильные состояния составной системы при туннелировании через отталкивающие барьеры, Теоретическая математическая физика 186, сс. 27–50 (2016); Metastable states of a composite system tunneling through repulsive barriers Theoretical and Mathematical Physics 186, 21–40 (2016).

2. A.A. Gusev, L.L. Hai, O. Chuluunbaatar, V. Ulziibayar, S.I. Vinitsky, V.L. Derbov, A. Gozdz, and V.A. Rostovtsev, Symbolic-numeric solution of boundary-value problems for the Schrodinger equation using the finite element method: scattering problem and resonance states, Lecture Notes in Computer Science 9301, pp. 182–197 (2015).

3. A.A. Gusev, O. Chuluunbaatar, S.I. Vinitsky, A.G. Abrashkevich, V.L. Derbov, Numerical solution of elliptic boundary-value problems for Schrodinger-type equations using the Kantorovich method, Mathematical Modelling and Geometry 2, pp. 54–80 (2014).

4. A.A. Gusev, O. Chuluunbaatar, S.I. Vinitsky and A.G. Abrashkevich, Algorithm for computing a wave packet evolution of the time-dependent Schrodinger equation, Mathematical Modelling and Geometry 2, pp. 33–53 (2014).

5. A.A. Gusev, O. Chuluunbaatar, S.I. Vinitsky and A.G. Abrashkevich, KANTBP 3.0: New version of a program for computing energy levels, reflection and transmission matrices, and corresponding wave functions in the coupled-channel adiabatic approach, Comput. Phys. Commun. 185, pp. 3341–3343 (2014).

6. S.I. Vinitsky, A.A. Gusev, O. Chuluunbaatar, L.L. Hai, V.L. Derbov, P.M. Krassovitskiy, A. Gozdz, Symbolic numerical algorithm for solving quantum tunneling problem of a diatomic molecule through repulsive barriers, Lecture Notes in Computer Science 8660, pp. 472–490 (2014).

7. A.A. Gusev, O. Chuluunbaatar, S.I. Vinitsky, V.L. Derbov, A. Gozdz, L.L. Hai, V.A. Rostovtsev, Symbolic-numerical solution of boundary-value problems with self-adjoint second-order differential equation using the finite element method with interpolation Hermite polynomials, Lecture Notes in Computer Science 8660, pp. 138–154 (2014).

8. A.A. Gusev, O. Chuluunbaatar, S.I. Vinitsky and A.G. Abrashkevich, POTHEA: A program for computing eigenvalues and eigenfunctions and their first derivatives with respect to the parameter of the parametric self-adjoined 2D elliptic partial differential equation, Comput. Phys. Commun. 185, pp. 2636–2654 (2014).

9. A.A. Gusev, S.I. Vinitsky, O. Chuluunbaatar, A. Gozdz, V.L. Derbov, Resonance tunnelling of clusters through repulsive barriers, Physica Scripta 89, pp. 054011–1–7 (2014).

10. A.A. Gusev, S.I. Vinitsky, O. Chuluunbaatar, L.L. Hai, V.L. Derbov and P.M. Krassovitskiy, Resonant tunneling of the few bound particles through repulsive barriers, Physics of Atomic Nuclei 77, pp. 389–413 (2014); Ядерная Физика 77, сс. 414–438 (2014).

11. A.A. Gusev, O. Chuluunbaatar, S.I. Vinitsky, A.G. Abrashkevich, KANTBP 3.0: New version of a program for computing energy levels, reflection and transmission matrices, and corresponding wave functions in the coupled-channel adiabatic approach, Вестник РУДН: Серия Математика. Информатика. Физика. 2, pp. 39–46 (2014).

12. A.A. Gusev, O. Chuluunbaatar, S.I. Vinitsky, A.G. Abrashkevich, Description of a program for computing eigenvalues and eigenfunctions and their first derivatives with respect to the parameter of the coupled parametric self-adjoined elliptic differential equations, Вестник РУДН: Серия Математика. Информатика. Физика. 2, pp. 33–38 (2014).

13. A. Gusev, S. Vinitsky, O. Chuluunbaatar, V.A. Rostovtsev, L.L. Hai, V. Derbov and P. Krassovitskiy, Symbolic-numerical algorithm for generating cluster eigenfunctions: tunneling of clusters through repulsive barriers, Lecture Notes in Computer Science 8136, pp. 427–442 (2013).

14. A. Gusev, S. Vinitsky, O. Chuluunbaatar, V.A. Rostovtsev, L.L. Hai, V. Derbov, A. Gozdz and E. Klimov, Symbolic-numerical algorithm for generating cluster eigenfunctions: identical particles with pair oscillator interactions, Lecture Notes in Computer Science 8136, pp. 155–168 (2013).

15. A.A. Gusev, L.L. Hai, S.I. Vinitsky, O. Chuluunbaatar, V.L. Derbov, A.S. Klombotskaya, K.G. Dvoyan and H.A. Sarkisyan, Analytical and numerical calculations of spectral and optical characteristics of spheroidal quantum dots, Physics of Atomic Nuclei 76, pp. 1033–1055 (2013); Ядерная Физика 76, сс. 1090–1112 (2013).

16. А.А. Гусев, С.И. Виницкий, О. Чулуунбаатар, П.М. Красовицкий, Резонансное туннелирование пары связанных частиц в адиабатическом представлении, Вестник МГТУ “Станкин” 1(24), сс. 92–97 (2013).

17. A.A. Gusev, O. Chuluunbaatar, S.I. Vinitsky, K.G. Dvoyan, E.M. Kazaryan, H.A. Sarkisyan, V.L. Derbov, A.S. Klombotskaya and V.V. Serov, Adiabatic description of nonspherical quantum dot models, Physics of Atomic Nuclei 75 pp. 1210–1226 (2012); Ядерная Физика 75, сс. 1281–1297 (2012).

18. A. Gusev, S. Vinitsky, O. Chuluunbaatar, V. Gerdt, L.L. Hai and V.A. Rostovtsev, Symbolic-numerical calculations of high |m| Rydberg states and decay rates in strong magnetic fields, Lecture Notes in Computer Science 7442, pp. 155–171 (2012).

19. A.A. Gusev, S.I. Vinitsky, O. Chuluunbaatar, V.P. Gerdt, V.A. Rostovtsev, Symbolic-numerical algorithms to solve the quantum tunneling problem for a coupled pair of ions, Lecture Notes in Computer Science 6885, pp. 175–191 (2011).

20. A.A. Gusev, O. Chuluunbaatar, V.P. Gerdt, V.A. Rostovtsev, S.I. Vinitsky, V.L. Derbov, V.V. Serov, Symbolic-numeric algorithms for computer analysis of spheroidal quantum dot models, Lecture Notes in Computer Science 6244, pp. 106–122 (2010).

21. С.И. Виницкий, А.А. Гусев, О. Чулуунбаатар, Решение краевых задач шрёдингеровского типа методом Канторовича, Вестник СПбГУ: Серия 4. Физика, Химия. 3, сс. 111–115 (2010).

22. A.A. Gusev, O. Chuluunbaatar, S.I. Vinitsky, V.L. Derbov, E.M. Kazaryan, A.A. Kostanyan and H.A. Sarkisyan, Adiabatic approach to the problem of a quantum well with a hydrogen – like impurity, Physics of Atomic Nuclei 73, pp. 331–338 (2010); Ядерная физика 73, сс. 352–359 (2010).

23. В.Л. Дербов, В.В. Серов, С.И. Виницкий, А.А. Гусев, О. Чулуунбаатар, Э.М. Казарян, А.А. Саркисян, О решении низкоразмерных краевых задач квантовой механики методом Канторовича – приведение к обыкновенным дифференциальным уравнениям, Известия Саратовского университета: Серия Физика. 10, cc. 4–17 (2010).

24. O. Chuluunbaatar, V.P. Gerdt, A.A. Gusev, M. S. Kaschiev, V.A. Rostovtsev, Y. Uwano and S.I. Vinitsky, Multi-layer evolution schemes for the finite-dimensional quantum systems in external fields, Physics of Particles and Nuclei, Letters 6, pp. 550–553 (2009); Письма в ЭЧАЯ 6, сс. 70–76 (2009).

25. S.I. Vinitsky,O. Chuluunbaatar, V.P. Gerdt, A.A. Gusev, and V.A. Rostovtsev, Symbolic-numerical algorithms for solving parabolic quantum well problem with hydrogen-like impurity, Lecture Notes in Computer Science 5743, pp. 334–349 (2009).

26. O. Chuluunbaatar, A.A. Gusev, S.I. Vinitsky and A.G. Abrashkevich, ODPEVP: A program for computing eigenvalues and eigenfunctions and their first derivatives with respect to the parameter of the parametric self-adjoined Sturm-Liouville problem. Comput. Phys. Commun. 181, pp. 1358–1375 (2009).

27. O. Chuluunbaatar, A.A. Gusev, S.I. Vinitsky and A.G. Abrashkevich, Erratum to: Program ADZH_v2_0, ``KANTBP 2.0: New version of a program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach'' [Comput. Phys. Commun. 179 (2008) 685], Comput. Phys. Commun. 180, pp. 1012–1012 (2009).

28. O. Chuluunbaatar, A.A. Gusev, V.P. Gerdt, V.A. Rostovtsev, S.I. Vinitsky, A.G. Abrashkevich, M.S. Kaschiev and V.V. Serov, Erratum to: Program AEAA$_v1_0, ``POTHMF: A program for computing potential curves and matrix elements of the coupled adiabatic radial equations for a hydrogen-like atom in a homogeneous magnetic field'' [Comput. Phys. Commun. 178 (2008) 301], Comput. Phys. Commun. 180, pp. 1011–1011 (2009).

29. O. Chuluunbaatar, A.A Gusev, V.L. Derbov, P.M. Krassovitskiy and S.I. Vinitsky, Channeling problem for charged particles produced by confining environment, Physics of Atomic Nuclei. 72, pp. 768–778 (2009); Ядерная физика 72, сс. 811–821 (2009).

30. P.M. Krassovitskiy, S.I. Vinitsky, A.A. Gusev and O. Chuluunbaatar, The cross section of reaction of two charged particles in a channel of a crystal, Bulletin of the Russian Academy of Sciences: Physics. 73, pp. 222–224 (2009); Известия РАН: Серия Физическая. 73, сс. 233–235 (2009).

31. O. Chuluunbaatar, A.A. Gusev, S.I. Vinitsky and A.G. Abrashkevich, Erratum to: Program ADZH_v2_0, ``KANTBP 2.0: New version of a program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach'' [Comput. Phys. Commun. 179 (2008) 685], Comput. Phys. Commun. 180, pp. 1012--1012 (2009).

32. V.V. Serov, V.L. Derbov, B.B. Joulakian and S.I. Vinitsky, Charge-scaling law for angular correlation in double photoionization of ions and atoms with two active electrons Phys. Rev. A,, 78, 6, 063403--1--9, (2008)

33. O. Chuluunbaatar, A.A. Gusev, S.I. Vinitsky and A.G. Abrashkevich, KANTBP 2.0: New version of a program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach, Comput. Phys. Commun., 179, pp. 685--693 (2008).

34. O. Chuluunbaatar, A.A. Gusev, S.I. Vinitsky, V.L. Derbov, A. Galtbayar and T. Zhanlav, Two-dimensional oscillator in time-dependent fields: comparison of some exact and approximate calculations, Phys. Rev. E 78, pp. 017702--1--4 (2008).

35. 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, pp. 295203--1--25 (2008).

36. O. Chuluunbaatar, A.A. Gusev, V.L. Derbov, M.S. Kaschiev, L.G. Mardoyan, V.V. Serov, T.V. Tupikova and S.I. Vinitsky, Adiabatic representation for a hydrogen atom photoionization in an uniform magnetic field, Physics of Atomic Nuclei, 71, pp. 844--852 (2008); Ядерная Физика 71, сс. 871--878 (2008).

37. O. Chuluunbaatar, A.A. Gusev, S.I. Vinitsky, V.L. Derbov, L.A. Melnikov and V.V. Serov, Photoionization and recombination of a hydrogen atom in a magnetic field, Phys. Rev. A 77, pp. 034702--1--4 (2008).

38. O. Chuluunbaatar, A.A. Gusev, V.P. Gerdt, V.A. Rostovtsev, S.I. Vinitsky, A.G. Abrashkevich, M.S. Kaschiev and V.V. Serov, POTHMF: A program for computing potential curves and matrix elements of the coupled adiabatic radial equations for a hydrogen-like atom in a homogeneous magnetic field, Comput. Phys. Commun. 178, pp. 301--330 (2008).

39. O. Chuluunbaatar, B.B. Joulakian, I.V. Puzynin, Kh. Tsookhuu and S.I. Vinitsky, Modified two-center continuum wave function: application to the dissociative double ionization of H₂ by electron impact, J. Phys. B 41, pp. 015204--1--6 (2008).

40. О. Чулуунбаатар, А.А. Гусев, С.И. Виницкий, М.С. Касчиев, В.Л. Дербов, Л.А. Мельников, В.В. Серов, Фотоионизация водородоподобного атома в магнитном поле, Теоретическая Физика 8, сс. 150--157 (2007).

41. V.V. Serov, V.L. Derbov, S.I. Vinitsky, ``Laser-stimulated recombination of antihydrogen in magnetic field via quasistationary state``.Optics and Spectroscopy 102 557--561 (2007) .

42. V.V. Serov, V.L. Derbov, B.B. Joulakian, and S.I. Vinitsky, Wave-packet-evolution approach for single and double ionization of two-electron systems by fast electrons, Phys. Rev. A 75 (2007) 012715--1--9.

43. A. Gusev, V. Gerdt, M. Kaschiev, V. Rostovtsev, V. Samoylov, T. Tupikova, Y. Uwano, S. Vinitsky ``On symbolic-numeric representation of evolution operator for finite-dimensional quantum systems``,Physics of Elementary Particles and Atomic Nuclei, Letters 138, (2007) 253--259;Письма в журнал ``Физика Элементарных Частиц и Атомного Ядра``, 138, (2007) 253--259.

44. A.V. Chizhov, A.A. Gusev, L.A. Sevastianov, S. I. Vinitsky,``Phase Representation of Quantum-Optical Systems via Nonnegative Quantum Distribution Function.``, Physics of Elementary Particles and Atomic Nuclei, Letters 138, (2007) 330--335; Письма в журнал ``Физика Элементарных Частиц и Атомного Ядра``, 138, (2007) 330--335.

45. Yu.V. Popov, K.A. Kouzakov, S.I. Vinitsky, and A.A. Gusev, Interaction of attosecond electromagnetic pulses with atoms: the exactly solvable model. Physics of Atomic Nuclei 70 (2007) 601--606;Ядерная физика 70 (2007) 629--634.

46. С.И. Виницкий, А.А. Гусев, В.А. Ростовцев и О. Чулуунбаатар, Символьно-численные алгоритмы решения двумерных краевых задач в квантовой механике, Вестник ТвГУ: Серия Прикладная Математика. 17(45), сс. 27--44 (2007).

47. 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, pp. 11485--11524 (2007).

48. O. Chuluunbaatar, A.A. Gusev, A.G. Abrashkevich, A. Amaya-Tapia, M.S. Kaschiev, S.Y. Larsen and S.I. Vinitsky, KANTBP: A program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach, Comput. Phys. Commun. 177, pp. 649--675 (2007).

49. S.I. Vinitsky, V.P. Gerdt, A.A. Gusev, M.S. Kaschiev, V.A. Rostovtsev, V.N. Samoilov, T.V. Tupikova and O. Chuluunbaatar, A symbolic-numerical algorithm for the computation of matrix elements in the parametric eigenvalue problem, Programming and Computer Software 33, pp. 105--116 (2007); Программирование 33, pp. 63--76 (2007).

50. I.V. Puzynin, T.L. Boyadjiev, S.I. Vinitsky, E.V. Zemlyanaya, T.P. Puzynina and O. Chuluunbaatar, Methods of computational physics for investigation of models of complex physical systems, Physics of Elementary Particles and Atomic Nuclei 38, pp. 70--116 (2007); Физика Элементарных Частиц и Атомного Ядра 38, сс. 144--232 (2007).

51. O. Chuluunbaatar, A. Gusev, V. Gerdt, M. Kaschiev, V. Rostovtsev, V. Samoylov, T. Tupikova and S. Vinitsky, A Symbolic-numerical algorithm for solving the eigenvalue problem for a hydrogen atom in the magnetic field: cylindrical coordinates, Lecture Notes in Computer Science 4770, pp. 118--133 (2007).

52. O. Chuluunbaatar, A.A. Gusev, M.S. Kaschiev, V.A. Kaschieva, A. Amaya-Tapia, S.Y. Larsen and S.I. Vinitsky, Benchmark Kantorovich calculations for three particles on a line, J. Phys. B 39, pp. 243--269 (2006).

53. S.I. Vinitsky, V.P. Gerdt, A.A. Gusev, M.S. Kaschiev, V.A. Rostovtsev, V.N. Samoylov, T.V. Tupikova, Y. Uwano, ''Symbolic algorithm of factorization of evolution operator for the Time-Dependent Schrodinger Equation''.Programming and computer software, 32, 103-113 (2006).

54. M.G. Dimova, M.S. Kaschiev, S.I. Vinitsky, "The Kantorovich method for high-accuracy calculations of a hydrogen atom in a strong magnetic field: low-lying excited states", Journal of Physics B: Atomic, Molecular and Optical Physics 38, 2337-2352 (2005).

55. V.V. Serov, B.B. Joulakian, V.L. Derbov, S.I. Vinitsky, "Ionization excitation of diatomic systems having two active electrons by fast electron impact: a probe to electron correlation", Journal of Physics B: Atomic, Molecular and Optical Physics 38, 2765-2773 (2005).

56. O. Chuluunbaatar, B.B. Joulakian, Kh. Tsookhuu and S.I. Vinitsky, Modified two-centre continuum wavefunction: application to the dissociative ionization of H₂⁺ by fast electron, J. Phys. B 37, pp. 2607--2616 (2004).

57. А.А. Гусев, С.И. Виницкий, М.С. Касчиев, В.Н. Самойлов и О. Чулуунбаатар, Решение нестационарного уравнения Шредингера разложением волнового пакета по ортогональному базису (программа для ЭВМ), Свидетельство об официальной регистрации программы для ЭВМ, N2004611479 от 2004 г. (Роспатент).

58. А.А. Гусев, Н.А. Чеканов, В.А. Ростовцев, С.И. Виницкий, И. Увано, Сравнение алгоритмов для нормализации и квантования полиномиальных гамильтонианов. Программирование 2, cc. 1-9 (2004).

59. В.В. Соколовский, Ю.В. Попов, А.А. Гусев, С.И. Виницкий, Использование потенциалов нулевого радиуса в качестве алгоритма решения квантовой задачи рассеяния. Вычислительные методы и программирование т.5 сc. 83-95 (2004).

60. Д.Б. Блашке, С.И. Виницкий, А.А. Гусев, В.Н. Первушин, Д.В. Проскурин. Космологическое рождение векторных бозонов и реликтовое излучение. Ядерная физика 67 N5 cc. 1076-1089 (2004).

61. O. Chuluunbaatar, M. Kaschiev, V. Kaschieva and S. Vinitsky, Kantorovich method for solving the multidimensional eigenvalue and scattering problems of Schroedinger equation,Lecture Notes in Computer Science 2542, pp. 403--411 (2003).

62. O. Chuluunbaatar, A.A. Gusev, S.Y. Larsen and S.I. Vinitsky, Three identical particles on a line: comparison of some exact and approximate calculations, J. Phys. A 35, pp. L513--L525 (2002).

63. Yu.V. Popov, O. Chuluunbaatar, S.I. Vinitsky, L.U. Ancarani, C. Dal Cappello and P.S. Vinitsky, On study of the transfer ionization reactions at super small scattering angles, JINR preprint E4--2002--140, Dubna, 2002; JETP 95, pp. 620--624 (2002); Журнал Экспериментальной и Теоретической Физики, 122, сс. 717–722 (2002).

64. O. Chuluunbaatar, I.V. Puzynin and S.I. Vinitsky, Uncoupled correlated method for helium bound states, Journal of Computational Methods in Sciences and Engineering 2, pp. 31--35 (2002).

65. O. Chuluunbaatar, I.V. Puzynin and S.I. Vinitsky, A Newtonian iteration scheme with the Schwinger variational functional for solving a scattering problem, JINR preprint P11--01--61, Dubna 2001; Journal of Computational Methods in Sciences and Engineering 2, pp. 37--49 (2002).

66. V.P. Karassiov, A.A. Gusev, S.I. Vinitsky, Polynomial Lie algebra methods in solving the second-harmonic generation model: some exact and approximate calculations, Phys.Lett.A 2002, V. 295, pp. 247-255.

67. V.V. Serov, B.B. Joulakian, D.V. Pavlov, I.V. Puzynin, and S.I. Vinitsky, (e,2e) ionization of H2+ by fast electron impact: Application of the exact nonrelativistic two-center continuum wave. Phys. Rev. A 65, 062708 (2002)

68. O. Chuluunbaatar, I.V. Puzynin and S.I. Vinitsky, Uncoupled correlated calculations of helium isoelectronic bound states, JINR preprint E11--2000--190, Dubna 2000; J. Phys. B 44, pp. L425--L432 (2001).

69. A.A. Gusev, V.N. Samoilov, V.A. Rostovtsev, S.I. Vinitsky, Algebraic perturbation theory for hydrogen atom in weak Electric Fields Programming and computer software 27, p27-31 (2001).

70. S.I.Vinitsky, S.Y.Larsen, D.V.Pavlov, D.V.Proskurin. Effective Adiabatic Approximation Problem of Three Bodies Coupled via Short-Range Potentials. Phys. At. Nuclei 64 p. 29-39(2001); Yad. Fiz. ( 2001) v.64 p.37-47 (in Russian)

71. V.V. Serov, V.L. Derbov, B.B. Joulakian, S.I. Vinitsky: Wave-packet evolution approach to ionization of the hydrogen Molecular ion by fast electrons, Phys. Rev. A 63, 062711 (2001)

72. A. G. Abrashkevich, M. S. Kaschiev, and S. I. Vinitsky A New Method for Soling an Eigenvalue Problem for a System Of Three Coulomb Particles within the Hyperspherical Adiabatic Representation Journal of Computational Physics 163, 328–348 (2000)

73. A.G. Abrashkevich, I.V. Puzynin, S.I. Vinitsky. ASYMPT: a program for calculating asymptotics of Hyperspherical potential curves and adiabatic potentials Comput. Physics. Commun., V. 125, p.259-281, 2000.

74. N.A. Chekanov, V.A. Rostovtsev, Y. Uwano, S.I. Vinitsky. GITA^-1: A symbolic computing program for an inverse problem of the Birkhoff-Gustavson normal form expansion. Comput. Physics. Commun. V. 126, p.47-50, 2000.

75. I.V. Puzynin, A.V. Selin, S.I. Vinitsky Magnus-factorized method for numerical solving of the time-Dependent Schroedinger equation. Comput. Physics. Commun., V. 126, p.150-161, 2000.

76. 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. http://arXiv.org/physics/0008246, Phys.Rev.A V. 63 p.062711-1-8, (2000)

77. Ye.M. Hakobyan, S.I. Vinitsky, G.S. Pogosyan, A.N.Sissakian. Isotropic oscillator in a space of constant positive Curvature: Interbasis expansion. Physics of Atomic Nuclei, v.62, N 4,p.623-637, 1999.

78. D.V. Proskurin, D.V. Pavlov, S.I. Larsen, S.I. Vinitsky. Effective adiabatic approximation of the three-body problem with short-range potentials. Preprint JINR E4-99-140, 1999. Physics of Atomic Nuclei, v.63, N12, 2000.

79. A.M.Ermolaev, I.V.Puzynin, A.V.Selin, and S.I.Vinitsky, Integral boundary condition for the time-dependent Schodinger Equation: Atom in a laser field. Phys. Rev. A, v.60, N6, p.4831-4844, 1999.

80. I.V. Puzynin, A.V. Selin, S.I. Vinitsky A high-order accuracy method for numerical solving of the Time-Dependent Schroedinger equation. Comput. Physics. Commun., V. 123, p.1-6, 1999.

List of scientific papers published in proceedings

1. A.A. Gusev, L.L. Hai, O. Chuluunbaatar, S.I. Vinitsky, and V.L. Derbov, Solution of boundary-value problems using Kantorovich method, EPJ Web of Conferences 108, pp. 02026–1–6 (2016).

2. S. Vinitsky, A. Gusev, O. Chuluunbaatar, L.L. Hai, V. Derbov, P.M. Krassovitskiy, Models of quantum tunneling of a diatomic molecule affected by laser pulses through repulsive barriers, Proceedings of SPIE 9031, pp. 90311D–1–15 (2014).

3. S. Vinitsky, A. Gusev, O. Chuluunbaatar, V. Derbov, A. Klombotskaya, and A. Gozdz, Models of two-electron composite quantum systems, Proceedings of SPIE 9031, pp. 90311E–1–14 (2014). PDF

4. A.A. Gusev, S.I. Vinitsky, O. Chuluunbaatar, A. Gozdz, V.L. Derbov, Quantum transparency of clusters through repulsive barriers, Proceedings of International Conference on Contemporary Physics, 3–6 June, Ulaanbaatar, Mongolia, pp. 153–159 (2013).

5. V.L. Derbov, A.S. Klombotskaya, A.A. Gusev, L.L. Hai, S.I. Vinitsky, O. Chuluunbaatar, Calculations of spectral and optical characteristics of spheroidal quantum dot ensembles, Proceedings of SPIE 8699, pp. 86991A–1–16 (2013).

6. A. Gusev, S. Vinitsky, O. Chuluunbaatar, V.A. Rostovtsev, L.L. Hai, V. Derbov and P. Krassovitskiy, Symbolic-numerical algorithm for gene\-rating cluster eigenfunctions: tunneling of clusters through repulsive barriers, arXiv: 1306.4155v1, pp. 1–16 (2013).

7. A. Gusev, S. Vinitsky, O. Chuluunbaatar, V.A. Rostovtsev, L.L. Hai, V. Derbov, A. Gozdz and E. Klimov, Symbolic-numerical algorithm for generating cluster eigenfunctions: identical particles with pair oscillator interactions, arXiv: 1306.2227v1, pp. 1–15 (2013).

8. A.A. Gusev, L.L. Hai, S.I. Vinitsky, O. Chuluunbaatar, V.L. Derbov, A.S. Klombotskaya, K.G. Dvoyan and H.A. Sarkisyan, Analytical and numerical calculations of spectral and optical characteristics of spheroidal quantum dots, arXiv: 1211.4768v1, pp. 1–36 (2012).

9. A.A. Gusev, O. Chuluunbaatar, L.L. Hai, S.I. Vinitsky, E.M. Kazaryan, H.A. Sarkisyan and V.L. Derbov, Spectral and optical characteristics of spheroidal quantum dots, J. Phys. Conf. Ser. 393, pp. 012011–1–9 (2012).

10. A.A. Gusev, O. Chuluunbaatar and S.I. Vinitsky, Computational scheme for calculating reflection and transmission matrices, and corresponding wave functions of the multichannel scattering problem, Фундаментальные физико-математические проблемы и моделирование технико-технологических систем: Материалы второй международной научной конференции «Моделирование нелинейных процессов и систем» вып. 14, сс. 8–18 (2011).

11. A.A. Gusev, O. Chuluunbaatar, S.I. Vinitsky, K.G. Dvoyan, E.M. Kazaryan, H.A. Sarkisyan, V.L. Derbov, A.S. Klombotskaya, V.V. Serov, Adiabatic description of nonspherical quantum dot models, arXiv: 1104.2292, pp. 1–23 (2011).

12. A.A. Gusev, O. Chuluunbaatar, S.I. Vinitsky, E.M. Kazaryan, H. A. Sarkisyan, The application of adiabatic method for the description of impurity states in quantum nanostructures, J. Phys. Conf. Ser. 248, pp. 012047–1–8 (2010).

13. .A. Gusev, O. Chuluunbaatar, V.P. Gerdt, V.A. Rostovtsev, S.I. Vinitsky, V.L. Derbov and V.V. Serov, Symbolic-numeric algorithms for computer analysis of spheroidal quantum dot models, arXiv: 1004.4202v1, pp. 1–17 (2010).

14. A.A. Gusev, O. Chuluunbaatar, V.P. Gerdt, B.L. Markovski, V.V. Serov and S.I. Vinitsky, Algorithm for reduction of boundary-value problems in multistep adiabatic approximation, arXiv: 1005.2089v1, pp. 1–14 (2010).

15. С.И. Виницкий, А.А. Гусев, О. Чулуунбаатар, В.Л. Дербов, В.В. Серов и П.М. Красовицкий, Эффекты резонансного прохождения и отражения каналированных ионов при наличии поперечного осцилляторного потенциала, Фундаментальные физико-математические проблемы и моделирование технико-технологических систем: Материалы международной научной конференции «Моделирование нелинейных процессов и систем» вып. 12, сс. 402–422 (2009).

16. С.И.Виницкий, А.А. Гусев, О. Чулуунбаатар, В.Л. Дербов, Э.М. Казарян, А.А. Костанян и А.А. Саркисян, Адиабатический подход для задачи о параболической квантовой яме, Проблемы оптической физики и биофотоники: Материалы 12-й Междунар. молодежной научной школы по оптике, лазерной физике и биофизике. сс. 111--117 (2008).

17. O. Chuluunbaatar, A.A. Gusev, S.I. Vinitsky, M.S. Kaschiev, V.L. Derbov, L.A. Melnikov and V.V. Serov, Adiabatic representation for a hydrogen-like atom photoionization in a magnetic field, Proceedings of International Conference on Muon Catalyzed Fusion and Related Topics, pp. 323--330 (2008).

18. O. Chuluunbaatar, A. Galtbayar, A.A. Gusev, S.I. Vinitsky and T. Zhanlav, Explicit Magnus expansions for time-dependent Schroedinger equation, Proceedings of International Conference on Contemporary Physics, pp. 281--290 (2008).

19. O. Chuluunbaatar, B.B. Joulakian, I.V. Puzynin, Kh. Tsookhuu and S.I. Vinitsky, Application of modified two-center continuum wave function for calculations of a double ionization of H₂ by electron impact, Proceedings of International Conference on Contemporary Physics, pp. 275--280 (2008).

20. O. Chuluunbaatar, A.A. Gusev, V.L. Derbov, M.S. Kaschiev, L.A. Melnikov, V.V. Serov and S.I. Vinitsky, Application of Kantorovich approach for a hydrogen-like atom in a homogeneous magnetic field, Proceedings of International Conference on Contemporary Physics, pp. 266--274 (2008).

21. O. Chuluunbaatar, A.A. Gusev, V.P. Gerdt, V.A. Rostovtsev, T.V. Tupikova, S.I. Vinitsky, A.G. Abrashkevich, M.S. Kaschiev and V.V. Serov, POTHMF, a program to compute matrix elements of the coupled radial equations for a hydrogen-like atom in a homogeneous magnetic field, Acta Academiae Aboensis, Ser. B 67, pp. 68--77 (2007).

22. O. Chuluunbaatar, A.A. Gusev, V.L. Derbov, M.S. Kaschiev, V.V. Serov, T.V. Tupikova and S.I. Vinitsky, Application of Kantorovich method for calculations of a hydrogen atom photoionization in a strong magnetic field, Proceedings of SPIE 6537, pp. 653706--1--18 (2007).

23. V.V. Serov, V.L. Derbov, V.I. Lobanov, O. Chuluunbaatar, A.A. Gusev and S.I. Vinitsky, Laser-stimulated radiative recombination of antihydrogen in a magnetic field in the presence of Doppler broadening, Proceedings of SPIE 6537, pp. 65370Q--1--7 (2007).

24. O. Chuluunbaatar, A.A. Gusev, V.L. Derbov, M.S. Kaschiev, V.V. Serov, T.V. Tupikova and S.I. Vinitsky, On an effective approximation of the Kantorovich method for calculations of a hydrogen atom in a strong magnetic field, Proceedings of SPIE 6165, pp. 61650B--1--17 (2006).

25. O. Chuluunbaatar, A.A. Gusev, V.L. Derbov, M.S. Kaschiev, K.A. Kouzakov, V.V. Serov, V.N. Samoylov, T.V. Tupikova and S.I. Vinitsky, On the Kantorovich approach for calculations of the hydrogen atom states in laser pulses, Proceedings of SPIE 6165, pp. 61650C--1--16 (2006).

26. O. Chuluunbaatar, A.A. Gusev, M.S. Kaschiev, V.A. Kaschieva, A. Amaya-Tapia, S.Y. Larsen and S.I. Vinitsky, Benchmark Kantorovich calculations for three--body problems on a line, Proceedings of International School on Contemporary Physics, 8--15 August, Ulaanbaatar, Mongolia, pp. 214--223 (2005).

27. V.V. Serov, V.P. Kadjaeva, V.L. Derbov, S.I. Vinitsky, "Classical analysis of recombination of antihydrogen in strong magnetic field", Izv. Saratovskogo universiteta, New serie, Serie Fizika 5, (1), 84-91 (2005).

28. O. Chuluunbaatar, B.B. Joulakian, Kh. Tsookhuu and S.I. Vinitsky, Two-center BBK modified asymptotic solution continua: application to the dissociative ionization of H₂⁺ by fast electrons, Proceedings of the First National Conference on Nonlinear Sciences, Ulaanbaatar, Mongolia, pp. 86--93 (2004).

29. A.A. Gusev, O. Chuluunbaatar, M.S. Kaschiev and S.I. Vinitsky, The calculation methods and algorithms for time-dependent Schroedinger equations, Proceedings of the First National Conference on Nonlinear Sciences, Ulaanbaatar, Mongolia, pp. 72--85 (2004).

30. A.A. Gusev, O. Chuluunbaatar, S.I. Vinitsky and M.S. Kaschiev, High accuracy splitting algorithms for the time--dependent Schroedinger equation with a train of laser pulses, Proceedings of SPIE 5476, pp. 99--113 (2004).

31. O. Chuluunbaatar, A.A. Gusev, I.V. Puzynin, S.Y. Larsen and S.I. Vinitsky, A variational--iteration approach to the three--body scattering problem, Selected topics in theoretical physics and astrophysics, JINR D4--2003--89, Dubna, pp. 105--121 (2003).

32. O. Chuluunbaatar , M.S. Kaschiev , V.A. Kaschieva, S.I. Vinitsky, Kantorovich Method for Solving the Multidimensional Eigenvalue and Scattering Problems of Schroedinger Equation, Lecture Notes in Computer Science v.2542 pp.403-411, (Springer-Verlag Berlin Heidelberg) 2003.

33. Yu.V. Popov, K.A. Kouzakov, A.A. Gusev, S.I. Vinitsky, Model of interaction of zero-duration laser pulses with an Atom. Proc. SPIE, V.L. Derbov, L.A. Melnikov, L.M. Babkov (Eds.), v. 5069, pp. 33-42, 2003.

34. V.L.Derbov, M.S.Kaschiev, V.V.Serov, A.A.Gusev, S.I. Vinitsky, Adaptive numerical methods for time-dependent Schroedinger equation in atomic and laser physics. Proc. SPIE, V.L.Derbov,L.A. Melnikov, L.M. Babkov (Eds.), v. 5069, pp. 52-60, 2003.

35. A. Gusev, Yu. Ukolov, N. Chekanov, V. Rostovtsev, Y. Uwano, S. Vinitsky, The Program LINA for the Normalization of Polynomial Hamiltonians. In: Proc of the sixth Workshop on Computer Algebra in Scientific Computing, (September 20-26, 2003, Passau, Germany) V.G.Ganzha, E.W. Mayr, E.V. Vorozhtsov (Eds.), Technische Universitat Munchen, Garching, Germany (2003) 187-197.

36. O. Chuluunbaatar, Yu.V. Popov and S.I. Vinitsky, Uncoupled correlated variational function in (e,2e) and (e,3e) calculations for ionization of the helium atom, JINR preprint P4--2002--134, Dubna, 2002.

37. K.A. Kouzakov, O. Chuluunbaatar, A.A. Gusev, S.I. Vinitsky and Yu.V. Popov, (e,3e) reaction at middle energy and visualization of mean--field effects in atom, JINR preprint P4--2002--218, Dubna 2002.

38. O. Chuluunbaatar, I.V. Puzynin, D.V. Pavlov, A.A. Gusev, S.Y. Larsen and S.I. Vinitsky, Newtonian iteration schemes for solving the three--body scattering problem on a line, JINR preprint P11--01--255, Dubna 2001; Proceedings of SPIE 4706, pp. 155--165 (2002).

39. S. Vinitsky, V. Rostovtsev and A. Gusev, Extracting a special class of Integrable systems with the Birkhoff-Gustavson normalization of polynomial Hamiltonians Proc of Int. Workshop on Computer Algebra and its Application to Physics (Dubna, June 28-30, 2001), 348-357 (2002),( ОИЯИ E5,11-2001-279)

40. A.A.Gusev, V.N. Samoilov, V.A. Rostovtsev, S.I. Vinitsky Maple Implementing Algebraic Perturbation Theory Algorithm: Hydrogen Atom in Weak Electric Fields. Proc of Int. Workshop On Computer Algebra and its Application to Physics (Dubna, June 28, 2001), 158-168 (2002), ОИЯИ E5,11-2001-279)

41. V.P. Karassiov, A.A. Gusev, S.I. Vinitsky, Polynomial supd Lie algebra techniques in solving the second-harmonic generation model: comparison of exact and approximate calculations, In Proc. of Int. Workshop on Laser Physics and Photonics, Spectroscopy and Molecular Modeling", Saratov, October 2-5,2001; Proc. SPIE 4706,141-149 (2002)

42. V.V. Serov, V. L. Derbov, S.I. Vinitsky, V.I. Yukalov: Non-ground stationary states of Bose condensate of trapped neutral atoms. In: Proc. SPIE "Saratov Fall Meeting '01. Laser Physics and Photonics, Spectroscopy and Molecular Modeling", V.L. Derbov, L.A. Melnikov, L.M. Babkov (Eds.) Proc. SPIE 4706 (2002) 124-129

43. V.V. Serov, V.L. Derbov, A.I. Bychenkov, D.V. Pavlov, S.I. Vinitsky, Laser-induced and spontaneous formation of Saturnian hydrogen atoms in low-density plasma. In: Proc. SPIE "Saratov Fall Meeting '01. Laser Physics and Photonics, Spectroscopy and Molecular Modeling", V.L. Derbov, L.A. Melnikov, L.M. Babkov (Eds.) Proc. SPIE 4706(2002) 178-186

44. Y.Uwano, S.I. Vinitsky, V.A.Rostovtsev, A.A.Gusev, "The Inverse problem of the Birkhoff-Gustavson normalization of the perturbed harmonic oscillators with homogeneous-cubic polynomial potentials",J. of Comput. Methods in Sciences and Eng., 2002, V. 2, pp. 271-275.

45. V. V. Serov, V.L. Derbov, B. Joulakian, S.I. Vinitsky. Wave packet evolution scheme to ionization of atoms and molecules by fast electrons. J. of Comput. Methods in Sciences and Eng., 2002, V. 2, pp. 253-259.

46. A.A. Gusev,V.N. Samoilov, V.A. Rostovtsev, S.I. Vinitsky Symbolic Algorithms of Algebraic Perturbation Theory: Hydrogen Atom in the Field of Distant Charge Proc. of Fourth Workshop on "Computer Algebra in Scientific Computing", (Konstanz, September 22 - 26, 2001), CASC-2001, Eds. V.G. Ganzha, E.W.Mayr, E.V. Vorozhtsov, Springer-Verlag, 2001.

47. D.V. Pavlov, I.V. Puzynin, B. Joulakian, S.I. Vinitsky. Wavefunctions of continuous spectrum of the Coulomb two-Center problem. Preprint JINR E11-2000-185, 2000(J. of Comput. Methods in Sciences and Eng., 2002, V. 2, pp. 261-269.)

48. A.A. Gusev,V.N. Samoilov, V.A. Rostovtsev, S.I. Vinitsky Symbolic Algorithms of Algebraic perturbation theory for Hydrogen atom: The Stark effect", Proc. of Third Workshop on "Computer Algebra in Scientific Computing", (Samarkand, October 5-9, 2000), CASC-2000, Eds. V.G. Ganzha, E.W.Mayr, E.V. Vorozhtsov, Springer-Verlag, 2000, pp.219-232.

49. Y. Uwano, N.A. Chekanov, V.A. Rostovtsev, S.I. Vinitsky. On normalization of a class of polynomial Hamiltonians: From ordinary and inverse points of view. In Computer algebra in scientific computing, eds. V.G. Ganzha, E.W. Mayr, E.V. Vorozhtsov, Springer, 1999, pp. 441-461.