team

Ишханян Артур Михайлович

Д.ф.-м.н., профессор

Описание

ОБРАЗОВАНИЕ:
2004 доктор физ.-мат. наук, Ереванский гос. университет, Армения
1997 кандидат физ.-мат. наук,Ереванский гос. университет, Армения к
1983-1986 аспирант, Институт проблем механики, Москва, Россия
1977-1983 студент, Московский физико-технический институт, Россия

РАБОЧИЙ СТАЖ:
2007 - по сей день– Руководитель группы, Институт физических исследований НАН РА
1991 – 2007– Старший научный сотрудник, Инженерный центр НАН РА
1988 - 1991– Научный сотрудник, Институт физических исследований НАН РА
1986 - 1988– Младший научный сотрудник, Институт физических исследований НАН РА

РУКОВОДИТЕЛЬ ГРАНТА:
1. Quantum Interference Effects in Atom Optics // NATO / CRG 974301 - 1998
2. Anomalous scattering of atoms in the field of a standing wave // ​​International Science and Technology Center (ISTC) / ISTC A215-99 - 1999
3. Optical Control of Cold Atom Motion // ANSEF (Armenian National Science and Education Fund) / PS 1_00 - 2001
4. Cold Atoms in an Optical Lattice // National Foundation of Science and Advanced Technologies (NFSAT) / NFSAT PH 100-02 / CRDF 12042 - 2003
5. Optical Control of Bose-Einstein Condensates // ANSEF (Armenian National Science and Education Fund) / PS 13_2003 - 2003
6. Nonlinear optics with surface modes on smooth interfaces // ANSEF (Armenian National Science and Education Fund) / PS-730-43 - 2005
7. Non-Linear Quantum Few-State Models// International Science and Technology Center (ISTC) / A-1241 - 2005
8. Cubic-Nonlinear Quantum Few-State Models// ANSEF (Armenian National Science and Education Fund) / PS-1692 - 2009
9. Solutions to the Heun equations in terms of simpler mathematical functions// ANSEF (Armenian National Science and Education Fund) / PS-2186 - 2010
10. Quantum Nonlinear Landau-Zener tunneling// ANSEF (Armenian National Science and Education Fund) / PS-2591 - 2011
11. Nonlinear Landau-Zener tunneling // State Committee of Science of the Ministry of Education and Science of the Republic of Armenia / 11РБ-026 - 2011
12. Development and application of the Heun functions in cosmology and quantum mechanics// State Committee of Science of the Ministry of Education and Science of the Republic of Armenia / 13РБ-052 - 2014
13. Nonlinear quantum few-state models with dissipation// Scientific Committee of the Ministry of Education and Science of the Republic of Armenia / 15T-1C323 - 2015
14. Series expansions of the Heun functions with applications in physics and mathematics // ANSEF (Armenian National Science and Education Fund) / PS-4558 - 2017
15. Quantum mechanics of elementary particles with additional internal structure and the large-scale structure of space-time // ANSEF (Armenian National Science and Education Fund) / PS-4986 - 2018
16. Quantum transmission of nonlinear matter-waves through nanostructures// Science Committee of the Ministry of Education and Science of the Republic of Armenia / 18RF-139 - 2018
17. Quantum mechanics of elementary particles with additional internal structure and the large-scale structure of space-time// Science Committee of the Ministry of Education and Science of the Republic of Armenia / 18T-1C276 - 2018
18. Quantum Two-state Models with Dissipation// ANSEF (Armenian National Science and Education Fund) / PS-5701 - 2020
19. Solutions of relativistic wave equations in terms of the Heun functions// Enterprise Incubator Foundation (EIF), PMI Science / PMI EIF-2020-11 - 2020
20. Solutions of relativistic wave equations in terms of the Heun functions// Science Committee of the Ministry of Education and Science of the Republic of Armenia / 20RF-171 - 2021

НАГРАДЫ, ПРЕМИИ:
2015–Премия Президента РА, физика

Научные интересы

  • Точные решения волновых уравнений Квантовая механика Динамика малоуровневых квантовых систем Нелинейная динамика Теоретическая атомная, молекулярная и оптическая физика Лазерная физика Ассоциация холодных атомов в вырожденных квантовых газах Теория дифференциальных уравнений Гойна

Список основных публикаций

  • A. Schulze-Halberg and A.M. Ishkhanyan, "Inverse-root and inverse-root-exponential potentials: Darboux transformations and elementary Darboux partners", Physica Scripta 96, 025206 (2021).
  • A.M. Ishkhanyan, "Exact solution of the 1D Dirac equation for the inverse-square-root potential ", ZeitschriftfürNaturforschung A 75, 771-779 (2020).
  • A.M. Ishkhanyan, "Generalized hypergeometric solutions of the Heun equation", Theor. Math. Phys. 202, 1-10 (2020).
  • A.M. Ishkhanyan, "Appell hypergeometric expansions of the solutions of the general Heun equation", Constructive Approximation 49, 445-459 (2019).
  • T.A. Ishkhanyan and A.M. Ishkhanyan, "Generalized confluent hypergeometric solutions of the Heun confluent equation", Appl. Math. Comput. 338, 624-630 (2018).
  • A.M. Ishkhanyan, "Schrödinger potentials solvable in terms of the general Heun
  • T.A. Ishkhanyan and A.M. Ishkhanyan, "Solutions of the bi-confluent Heun equation in terms of the Hermite functions", Ann. Phys.383, 79-91 (2017).
  • A.M. Ishkhanyan, "The third exactly solvable hypergeometric quantum-mechanical potential", EPL 115, 20002 (2016).
  • A.M. Ishkhanyan, "Schrödinger potentials solvable in terms of the confluent Heun functions", Theor. Math. Phys. 188, 980-993 (2016).
  • A.M. Ishkhanyan, "Exact solution of the Schrödinger equation for the inverse square root potential ", EPL 112, 10006 (2015).

Дисциплины