Artur Miqayel Ishkhanyan
06.09.2016

Corresponding member of NAS, Doctor of Science of Physics and Mathematics, Professor

ishkhanyanartur38@aspu.am

Corresponding member of NAS, Doctor of Science of Physics and Mathematics, Professor/Chair of Physics and its Teaching Methods

Education
1983 - 1986 PhD student, Theoretical and Mathematical Physics, Institute for Problems in Mechanics, Moscow, Russia
1977 - 1983 Moscow Institute for Physics and Technology, Russia. Department of Aerophysics and Space Research

Academic Credentials
2006 Corresponding member, Armenian Academy of Sciences
2004 Dr. of Science, Yerevan State University, Yerevan, Armenia. Title of the thesis "Selected problems of coherent interaction of model quantum systems with light"
1997 PhD, Yerevan State University, Yerevan, Armenia. Title of the thesis "Coherent interaction of model quantum systems with radiation"`

Work Experience
2007 – present Head of the laboratory of matter-wave physics, Institute for
Physical Research, Ashtarak, Armenia
1991 – 2007 Head of research group, Engineering Center, Ashtarak, Armenia
1989 – 1991 Senior Researcher, Institute for Physical Research, Ashtarak, Armenia
1986 – 1989 Researcher Senior, Institute for Physical Research, Ashtarak, Armenia

Courses

Bachelor’s degree course: Quantum mechanics, Laser physics, Statistical Physics

Master’s degree course: Interaction of radiation with matter, Degenerate quantum gases, Hydrodynamics, Oscillations and waves

Scope of Academic Interests
Main fields: Theoretical Atomic, Molecular and Optical Physics
Others fields: Quantum Optics, Non-Linear Optics, Laser Physics
Current interests: Dynamics of few-level quantum systems, Quantum mechanics

Selected Publications
1. A.M. Ishkhanyan, "Narrowing of interference fringes in diffraction of prepared atoms by standing waves", Phys. Rev. A 61, 063609 (2000).
2. A.M. Ishkhanyan, "Diffraction of atoms by a standing wave at Gaussian initial momentum distribution of amplitudes", Phys. Rev. A 61, 063611 (2000).
3. A.M. Ishkhanyan, "New analytically integrable models of the two-state problem", Opt. Comm. 176, 155 (2000).
4. A.M. Ishkhanyan, "New classes of analytic solutions of the three-state problem", J. Phys. A 33, 5041 (2000).
5. A.M. Ishkhanyan, "New classes of analytic solutions of the two-level problem", J. Phys. A 33, 5539 (2000).
6. A.M. Ishkhanyan, "Role of magnetic sublevels in anomalous standing wave diffraction of atoms", Proc. SPIE - New Trends in Atomic and Molecular Spectroscopy 4060, 29 (2000).
7. A.M. Ishkhanyan and K.-A. Suominen, "Solutions of the two-level problem in terms of biconfluent Heun functions", J. Phys. A 34, 6301 (2001). 
8. A.M. Ishkhanyan and K.-A. Suominen, "Analytic treatment of the polariton problem for a smooth interface", J. Phys. A 34, L591 (2001).
9. A.M. Ishkhanyan and G.P. Chernikov, "Polariton spectra for two specific symmetric structures", Reports (Armenian Ac. Sci.), 102(2), 127 (2002).
10. A.M. Ishkhanyan and A.M. Manukyan, “Exact solutions of the three-level problem in terms of Goursat functions”, J. Contemp. Physics (Armenian Ac. Sci.), 37(4), 1 (2002).
11. A.M. Ishkhanyan, "Solutions of the three-level problem in terms of generalized hypergeometric functions 3F2", Reports (Armenian Ac. Sci.), 102(4), 320 (2002).
12. A.M. Ishkhanyan and K.-A. Suominen, "Three-level system driven by delayed pulses of finite duration", Phys. Rev. A 65, 051403(R) (2002).
13. A.M. Ishkhanyan, “Solutions of the one-dimensional Schrödinger equation in terms of the Airy functions”, J. Contemp. Physics (Armenian Ac. Sci.), 38(2), 1 (2003).
14. V.R. Ghazaryan and A.M. Ishkhanyan, "A non-Natanzon family of potentials for the radial Dirac equation", J. Contemp. Physics (Armenian Ac. Sci.), 38(5), 1 (2003).
15. A.M. Ishkhanyan and K.-A. Suominen, "Three-level models solvable in terms of the Clausen function", J. Phys. A 36, 7331 (2003).
16. A.M. Ishkhanyan and K.-A. Suominen, "New solutions of Heun's general equation", J. Phys. A 36, L81 (2003).
17. G.P. Chernikov and A.M. Ishkhanyan, "Surface polaritons in a symmetric heterogeneous three-layer lossy medium", Laser Physics 14(6), 875 (2004).
18. Artur Ishkhanyan, Matt Mackie, Andrew Carmichael, Phillip Gould, and Juha Javanainen, “Landau-Zener problem for trilinear systems”, Phys. Rev. A 69, 043612 (2004). 
19. Artur Ishkhanyan, G.P. Chernikov and Hiroki Nakamura, “Rabi dynamics of coupled atomic and molecular Bose-Einstein condensates”, Phys. Rev. A 70, 053611 (2004).
20. Artur Ishkhanyan, Juha Javanainen, and Hiroki Nakamura, “A basic two-state model for bosonic field theories with a cubic nonlinearity”, J. Phys. A 38, 3505 (2005).
21. Artur Ishkhanyan, “Incomplete Beta-function expansions of the solutions to the confluent Heun equation”, J. Phys. A 38, L491 (2005).
22. R.S. Sokhoyan, D.Yu. Melikdzanian andA.M. Ishkhanyan, “New hypergeometric series solutions to the general Heun equation”, J. Contemp. Physics (Armenian Ac. Sci.), 40(6), 1 (2005).
23. Artur Ishkhanyan, Juha Javanainen and Hiroki Nakamura, “Landau–Zener transition in photoassociation of cold atoms: strong interaction limit”, J. Phys. A 39, 14887 (2006).
24. Artur Ishkhanyan and Hiroki Nakamura, “Strong coupling limit in cold molecule formation via photoassociation or Feshbach resonance through Nikitin exponential resonance crossing”, Phys. Rev. A 74, 063414 (2006).
25. A.M. Ishkhanyan and G.P. Chernikov, “Traveling waves in a nonlinear medium with cubic nonlinearity”,Laser Physics 17(1), 27 (2007).
26. A.M. Ishkhanyan, B. Joulakian and K.-A. Suominen, “Two strong nonlinearity regimes in cold molecule formation”, European Physical Journal D 48, 397 (2008).
27. A. Ishkhanyan, A. Manukyan, and B. Joulakian, “Second harmonic generation in a layer with variable susceptibility”, Laser Physics 18(7), 886 (2008).
28. A. Ishkhanyan, R. Sokhoyan, B. Joulakian, and K.-A. Suominen, “Rosen-Zener model in cold molecule formation”, Optics Commun. 282, 218 (2009).
29. A. Ishkhanyan, B. Joulakian, and K.-A. Suominen, “Variational ansatz for the nonlinear Landau-Zener problem for cold atom association”, J. Phys. B 42, 221002 (2009).
30. N. Sahakyan, H. Azizbekyan, H. Ishkhanyan, R. Sokhoyan, and A. Ishkhanyan, “Weak coupling limit of the Landau-Zener transition for association of an atomic Bose-Einstein condensate”, Laser Physics 20, 291 (2010).
31. A. Ishkhanyan, R. Sokhoyan, K.-A. Suominen, C. Leroy, and H.-R. Jauslin,“Landau-Zener transition for association of an atomic Bose-Einstein Condensate with inter-particle elastic interactions included”, European Physical Journal D 56, 421 (2010).
32. H.A. Ishkhanyan, V.P. Krainov, and A.M. Ishkhanyan, “Transmission resonances in above-barrier reflection of ultra-cold atoms by the Rosen-Morse potential”, J. Phys. B 43, 085306 (2010).
33. A.M. Ishkhanyan, “Landau-Zener transition in quadratic-nonlinear two-state systems”, Phys. Rev. A 81, 055601 (2010).
34. A.M. Ishkhanyan, “Generalized formula for the Landau-Zener transition in interacting Bose-Einstein condensates”, Eur. Phys. Lett.90, 30007 (2010).
35. A. Ishkhanyan, "Demkov-Kunike model in cold molecule formation", Proc. SPIE 7998, 79980T (2011).
36. R. Sokhoyan, H. Azizbekyan, C. Leroy, and A. Ishkhanyan, “Strong coupling regime of the nonlinear Landau-Zener problem for photo- and magneto-association of cold atoms”, JETP 139(4), 627 (2011).
37. H.A. Ishkhanyan, V.P. Krainov, and A.M. Ishkhanyan, “Higher order transmission resonances in above-barrier reflection of ultra-cold atoms”, J. Phys.: Conf. Ser. 350, 012012 (2012).
38. H. Ishkhanyan, A. Manukyan,and A. Ishkhanyan, “Matter wave propagation above a step potential within the cubic-nonlinear Schrödinger equation”, Int. J. Modern Physics: Conference Series, World Scientific 15, 232 (2012).
39. V.A. Shahnazaryan, T.A. Ishkhanyan, T.A. Shahverdyan, and A.M. Ishkhanyan, "New relations for the derivative of the confluent Heun function", Armenian Journal of Physics 5(3), 146 (2012).
40. V.M. Red'kov, E.M. Ovsiyuk, A.M. Ishkhanyan, "Particle in the magnetic field: 2D Riemann spherical space and complex analogue of the Poincaré half-plane", Reports of NAS of Belarus 57(1), 55 (2013).
41. T.A. Shahverdyan, D.S. Mogilevtsev, V.M. Red’kov, and A.M. Ishkhanyan, "Complete-return spectrum for a generalized Rosen-Zener two-state term-crossing model",Nonlinear phenomena in complex systems 16(1), 86 (2013).
42. A. Mikhalychev, D. Mogilevtsev, V. S. Shchesnovich, A. M. Ishkhanyan, S. Kilin, "Overcoming linear dissipation by designed nonlinear loss", Nonlinear Phenomena in Complex Systems 16(2), 162-179 (2013).
43. S. Guérin, M. Gevorgyan, C. Leroy, H. R. Jauslin, and A. Ishkhanyan, "Efficient adiabatic tracking of driven quantum nonlinear systems", Phys. Rev. A 88, 063622 (2013).
44. O.V. Veko, V.M. Red’kov, A.I. Shelest, S.A. Yushchenko, A.M. Ishkhanyan, "General conditions of vanishing current Jz for a Dirac field on boundaries of a domain between two planes", Nonlinear Phenomena in Complex Systems 17(2), 147-168 (2014).
45. T.A. Ishkhanyan and A.M. Ishkhanyan, "Expansions of the solutions to the confluent Heun equation in terms of the Kummer confluent hypergeometric functions", AIP Advances 4, 087132 (2014).
46. A.M. Ishkhanyan and A.E. Grigoryan, "Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function", J. Phys. A 47, 465205 (2014).
47. A.M. Manukyan, T.A. Ishkhanyan, M.V. Hakobyan, and A.M. Ishkhanyan, "A series solution of the general Heun equation in terms of incomplete Beta functions", IJDEA 13(4), 231-239 (2014).
48. A.M. Ishkhanyan, T.A. Shahverdyan, T.A. Ishkhanyan, "Thirty five classes of solutions of the quantum time-dependent two-state problem in terms of the general Heun functions", Eur. Phys. J. D 69, 10 (2015).
49. A.M. Ishkhanyan and V.P. Krainov, "Non-exponential tunneling ionization of atoms by an intense laser field", Laser Phys. Lett. 12, 046002 (2015).
50. C. Leroy and A.M. Ishkhanyan, "Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions", Integral Transforms and Special Functions 26, 451-459 (2015).
51. M.V. Hakobyan, V.M. Red'kov, A.M. Ishkhanyan, "Adiabatic asymmetric scattering of atoms in the field of a standing wave", Laser Phys. 25, 066001 (2015).
52. A.M. Ishkhanyan and V.P. Krainov, "Non-exponential Auger decay", Phys. Lett. A 379, 2041-2043 (2015).
53. A.M. Ishkhanyan, O. Florea, E.M. Ovsiyuk, V.M. Red'kov, "Dirac-Kähler particle in Riemann spherical space: boson interpretation", Canadian J. Phys. 93, 1427-1433 (2015). 
54. T.A. Shahverdyan, T.A. Ishkhanyan, A.E. Grigoryan, A.M. Ishkhanyan, "Analytic solutions of the quantum two-state problem in terms of the double-, bi- and tri-confluent Heun functions", J. Contemp. Physics (Armenian Ac. Sci.) 50, 211-226 (2015).
55. O.V. Veko, K.V. Kazmerchuk, E.M. Ovsiyuk, V.V. Kisel, A.M. Ishkhanyan, V.M. Red'kov, "Spin 1 particle in the magnetic monopole potential, nonrelativistic approximation. Minkowski and Lobachevski spaces", Nonlinear Phenomena in Complex Systems18, 243-258 (2015).
56. A.M. Ishkhanyan, "Exact solution of the Schrödinger equation for the inverse square root potential ", Eur. Phys. Lett. 112, 10006 (2015).
57. A.M. Ishkhanyan, "The Lambert-W step-potential - an exactly solvable confluent hypergeometric potential", Phys. Lett. A 380, 640-644 (2016)
58. A.S. Tarloyan, T.A. Ishkhanyan, and A.M. Ishkhanyan, "Four five-parametric and five four-parametric independent confluent Heun potentials for the stationary Klein-Gordon equation", Ann. Phys. (Berlin) 528, 264-271 (2016).
59. O.V. Veko, K.V. Dashuk, E.M. Ovsiyuk, V.M. Red'kov, A.M. Ishkhanyan, "Hydrogen atom in de Sitter spaces", Nonlinear Phenomena in Complex Systems 19, 16-29 (2016).
60. A.M. Ishkhanyan, "Schrödinger potentials solvable in terms of the confluent Heun functions", Theor. Math. Phys. 188, 980-993 (2016).
61. A.M. Ishkhanyan, "The third exactly solvable hypergeometric quantum-mechanical potential", EPL 115, 20002 (2016).
61. T.A. Ishkhanyan, Y. Pashayan-Leroy, M.R. Gevorgyan, C. Leroy, A.M. Ishkhanyan, "Expansions of the solutions of the biconfluent Heun equation in terms of incomplete Beta and Gamma functions", J. Contemp. Phys. (Arm. Ac. Sci.) 51, 229-236 (2016).
62. A.M. Ishkhanyan, "A singular Lambert-W Schrödinger potential exactly solvable in terms of the confluent hypergeometric functions", Mod. Phys. Lett. A 31, 1650177 (2016).
63. A. Ishkhanyan and V. Krainov, "Discretization of Natanzon potentials", Eur. Phys. J. Plus 131, 342 (2016).
64. A.M. Ishkhanyan, "A conditionally exactly solvable generalization of the inverse square root potential", Phys. Lett. A 380, 3786-3790 (2016).
65. M. Gevorgyan, S. Guérin, C. Leroy, A. Ishkhanyan, and H.R. Jauslin, "Adiabatic tracking for photo- and magneto-association of Bose-Einstein condensates with Kerr nonlinearities", EPJD 70, 253 (2016).
66. S.Yu. Slavyanov, D.A. Satco, A.M. Ishkhanyan, T.A. Rotinyan, "Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients", Theor. Math. Phys. 189, 1726-1733 (2016).
67. T.A. Shahverdyan, V.M. Red’kov, and A.M. Ishkhanyan, "Expansions of the solutions of the general Heun equation in terms of the incomplete Beta functions", NonlinearPhenomena in Complex Systems 19, 395-402 (2016).
68. A.M. Ishkhanyan and V.P. Krainov, "Maslov index for power-law potentials", JETP Lett. 105, 43-46 (2017).
69. A.M. Ishkhanyan and V.P. Krainov, "Semiclassical rates for tunnel ionization from power-law potentials induced by a constant or low-frequency electric field", Laser Phys. Lett. 14, 076001 (2017).
70. 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).
71. G. Saget, A.M. Ishkhanyan, C. Leroy, and T.A. Ishkhanyan, "Two-state model of a general Heun class with periodic level-crossings", J. Contemp. Physics (Armenian Ac. Sci.) 52, 324-334 (2017).
72. V. Dorier, M. Gevorgyan, A. Ishkhanyan, C. Leroy, H.R. Jauslin, and S. Guérin, "Nonlinear stimulated Raman exact passage by resonance-locked inverse engineering", Phys. Rev. Lett. 119, 243902 (2017).
73. T.A. Ishkhanyan, V.A. Manukyan, A.H. Harutyunyan and A.M. Ishkhanyan, "Confluent hypergeometric expansions of the solutions of the double-confluent Heun equation", Armenian J. Phys. 10, 212-223 (2017).
74. A.M. Ishkhanyan, "Schrödinger potentials solvable in terms of the general Heun functions", Ann. Phys. 388, 456-471 (2018).
75. T.A. Ishkhanyan, A.M. Manukyan, and A.M. Ishkhanyan, "A conditionally integrable Schrödinger potential of a bi-confluent Heun class", J. Phys.: Conf. Ser. 965, 012019 (2018).
76. A.M. Ishkhanyan, "Exact solution of the Schrödinger equation for a short range exponential potential with inverse square root singularity", Eur. Phys. J. Plus 133, 83 (2018).
77. T.A. Ishkhanyan, V.A. Manukyan, A.H. Harutyunyan, and A.M. Ishkhanyan, "A new exactly integrable hypergeometric potential for the Schrödinger equation", AIP Advances 8, 035309 (2018).
78. T.A. Ishkhanyan, V.P. Krainov and A.M. Ishkhanyan, "A conditionally integrable bi-confluent Heun potential involving inverse square root and centrifugal barrier terms", Zeitschrift für Naturforschung A 73, 407-414 (2018).
79. T.A. Ishkhanyan, A.H. Harutyunyan, V.A. Manukyan, and A.M. Ishkhanyan, "Accurate treatment of tunnel ionization, induced by a constant electric field, from a power-law singular potential", J. Contemp. Physics (Armenian Ac. Sci.) 53, 105-111 (2018).
80. A.M. Ishkhanyan and V.P. Krainov, "Dissociation of quarkonium in a strong electric field", JETP 126, 633-635 (2018).
81. T.A. Ishkhanyan, T.A. Shahverdyan, and A.M. Ishkhanyan, "Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients", Advances in High Energy Physics 2018, 4263678 (2018).
82. T.A. Ishkhanyan and A.M. Ishkhanyan, "Generalized confluent hypergeometric solutions of the Heun confluent equation", Appl. Math. Comput. 338, 624-630 (2018).1. A.M. Ishkhanyan, "Narrowing of interference fringes in diffraction of prepared atoms by standing waves", Phys. Rev. A 61, 063609 (2000).
2. A.M. Ishkhanyan, "Diffraction of atoms by a standing wave at Gaussian initial momentum distribution of amplitudes", Phys. Rev. A 61, 063611 (2000).
3. A.M. Ishkhanyan, "New analytically integrable models of the two-state problem", Opt. Comm. 176, 155 (2000).
4. A.M. Ishkhanyan, "New classes of analytic solutions of the three-state problem", J. Phys. A 33, 5041 (2000).
5. A.M. Ishkhanyan, "New classes of analytic solutions of the two-level problem", J. Phys. A 33, 5539 (2000).
6. A.M. Ishkhanyan, "Role of magnetic sublevels in anomalous standing wave diffraction of atoms", Proc. SPIE - New Trends in Atomic and Molecular Spectroscopy 4060, 29 (2000).
7. A.M. Ishkhanyan and K.-A. Suominen, "Solutions of the two-level problem in terms of biconfluent Heun functions", J. Phys. A 34, 6301 (2001). 
8. A.M. Ishkhanyan and K.-A. Suominen, "Analytic treatment of the polariton problem for a smooth interface", J. Phys. A 34, L591 (2001).
9. A.M. Ishkhanyan and G.P. Chernikov, "Polariton spectra for two specific symmetric structures", Reports (Armenian Ac. Sci.), 102(2), 127 (2002).
10. A.M. Ishkhanyan and A.M. Manukyan, “Exact solutions of the three-level problem in terms of Goursat functions”, J. Contemp. Physics (Armenian Ac. Sci.), 37(4), 1 (2002).
11. A.M. Ishkhanyan, "Solutions of the three-level problem in terms of generalized hypergeometric functions 3F2", Reports (Armenian Ac. Sci.), 102(4), 320 (2002).
12. A.M. Ishkhanyan and K.-A. Suominen, "Three-level system driven by delayed pulses of finite duration", Phys. Rev. A 65, 051403(R) (2002).
13. A.M. Ishkhanyan, “Solutions of the one-dimensional Schrödinger equation in terms of the Airy functions”, J. Contemp. Physics (Armenian Ac. Sci.), 38(2), 1 (2003).
14. V.R. Ghazaryan and A.M. Ishkhanyan, "A non-Natanzon family of potentials for the radial Dirac equation", J. Contemp. Physics (Armenian Ac. Sci.), 38(5), 1 (2003).
15. A.M. Ishkhanyan and K.-A. Suominen, "Three-level models solvable in terms of the Clausen function", J. Phys. A 36, 7331 (2003).
16. A.M. Ishkhanyan and K.-A. Suominen, "New solutions of Heun's general equation", J. Phys. A 36, L81 (2003).
17. G.P. Chernikov and A.M. Ishkhanyan, "Surface polaritons in a symmetric heterogeneous three-layer lossy medium", Laser Physics 14(6), 875 (2004).
18. Artur Ishkhanyan, Matt Mackie, Andrew Carmichael, Phillip Gould, and Juha Javanainen, “Landau-Zener problem for trilinear systems”, Phys. Rev. A 69, 043612 (2004). 
19. Artur Ishkhanyan, G.P. Chernikov and Hiroki Nakamura, “Rabi dynamics of coupled atomic and molecular Bose-Einstein condensates”, Phys. Rev. A 70, 053611 (2004).
20. Artur Ishkhanyan, Juha Javanainen, and Hiroki Nakamura, “A basic two-state model for bosonic field theories with a cubic nonlinearity”, J. Phys. A 38, 3505 (2005).
21. Artur Ishkhanyan, “Incomplete Beta-function expansions of the solutions to the confluent Heun equation”, J. Phys. A 38, L491 (2005).
22. R.S. Sokhoyan, D.Yu. Melikdzanian andA.M. Ishkhanyan, “New hypergeometric series solutions to the general Heun equation”, J. Contemp. Physics (Armenian Ac. Sci.), 40(6), 1 (2005).
23. Artur Ishkhanyan, Juha Javanainen and Hiroki Nakamura, “Landau–Zener transition in photoassociation of cold atoms: strong interaction limit”, J. Phys. A 39, 14887 (2006).
24. Artur Ishkhanyan and Hiroki Nakamura, “Strong coupling limit in cold molecule formation via photoassociation or Feshbach resonance through Nikitin exponential resonance crossing”, Phys. Rev. A 74, 063414 (2006).
25. A.M. Ishkhanyan and G.P. Chernikov, “Traveling waves in a nonlinear medium with cubic nonlinearity”,Laser Physics 17(1), 27 (2007).
26. A.M. Ishkhanyan, B. Joulakian and K.-A. Suominen, “Two strong nonlinearity regimes in cold molecule formation”, European Physical Journal D 48, 397 (2008).
27. A. Ishkhanyan, A. Manukyan, and B. Joulakian, “Second harmonic generation in a layer with variable susceptibility”, Laser Physics 18(7), 886 (2008).
28. A. Ishkhanyan, R. Sokhoyan, B. Joulakian, and K.-A. Suominen, “Rosen-Zener model in cold molecule formation”, Optics Commun. 282, 218 (2009).
29. A. Ishkhanyan, B. Joulakian, and K.-A. Suominen, “Variational ansatz for the nonlinear Landau-Zener problem for cold atom association”, J. Phys. B 42, 221002 (2009).
30. N. Sahakyan, H. Azizbekyan, H. Ishkhanyan, R. Sokhoyan, and A. Ishkhanyan, “Weak coupling limit of the Landau-Zener transition for association of an atomic Bose-Einstein condensate”, Laser Physics 20, 291 (2010).
31. A. Ishkhanyan, R. Sokhoyan, K.-A. Suominen, C. Leroy, and H.-R. Jauslin,“Landau-Zener transition for association of an atomic Bose-Einstein Condensate with inter-particle elastic interactions included”, European Physical Journal D 56, 421 (2010).
32. H.A. Ishkhanyan, V.P. Krainov, and A.M. Ishkhanyan, “Transmission resonances in above-barrier reflection of ultra-cold atoms by the Rosen-Morse potential”, J. Phys. B 43, 085306 (2010).
33. A.M. Ishkhanyan, “Landau-Zener transition in quadratic-nonlinear two-state systems”, Phys. Rev. A 81, 055601 (2010).
34. A.M. Ishkhanyan, “Generalized formula for the Landau-Zener transition in interacting Bose-Einstein condensates”, Eur. Phys. Lett.90, 30007 (2010).
35. A. Ishkhanyan, "Demkov-Kunike model in cold molecule formation", Proc. SPIE 7998, 79980T (2011).
36. R. Sokhoyan, H. Azizbekyan, C. Leroy, and A. Ishkhanyan, “Strong coupling regime of the nonlinear Landau-Zener problem for photo- and magneto-association of cold atoms”, JETP 139(4), 627 (2011).
37. H.A. Ishkhanyan, V.P. Krainov, and A.M. Ishkhanyan, “Higher order transmission resonances in above-barrier reflection of ultra-cold atoms”, J. Phys.: Conf. Ser. 350, 012012 (2012).
38. H. Ishkhanyan, A. Manukyan,and A. Ishkhanyan, “Matter wave propagation above a step potential within the cubic-nonlinear Schrödinger equation”, Int. J. Modern Physics: Conference Series, World Scientific 15, 232 (2012).
39. V.A. Shahnazaryan, T.A. Ishkhanyan, T.A. Shahverdyan, and A.M. Ishkhanyan, "New relations for the derivative of the confluent Heun function", Armenian Journal of Physics 5(3), 146 (2012).
40. V.M. Red'kov, E.M. Ovsiyuk, A.M. Ishkhanyan, "Particle in the magnetic field: 2D Riemann spherical space and complex analogue of the Poincaré half-plane", Reports of NAS of Belarus 57(1), 55 (2013).
41. T.A. Shahverdyan, D.S. Mogilevtsev, V.M. Red’kov, and A.M. Ishkhanyan, "Complete-return spectrum for a generalized Rosen-Zener two-state term-crossing model",Nonlinear phenomena in complex systems 16(1), 86 (2013).
42. A. Mikhalychev, D. Mogilevtsev, V. S. Shchesnovich, A. M. Ishkhanyan, S. Kilin, "Overcoming linear dissipation by designed nonlinear loss", Nonlinear Phenomena in Complex Systems 16(2), 162-179 (2013).
43. S. Guérin, M. Gevorgyan, C. Leroy, H. R. Jauslin, and A. Ishkhanyan, "Efficient adiabatic tracking of driven quantum nonlinear systems", Phys. Rev. A 88, 063622 (2013).
44. O.V. Veko, V.M. Red’kov, A.I. Shelest, S.A. Yushchenko, A.M. Ishkhanyan, "General conditions of vanishing current Jz for a Dirac field on boundaries of a domain between two planes", Nonlinear Phenomena in Complex Systems 17(2), 147-168 (2014).
45. T.A. Ishkhanyan and A.M. Ishkhanyan, "Expansions of the solutions to the confluent Heun equation in terms of the Kummer confluent hypergeometric functions", AIP Advances 4, 087132 (2014).
46. A.M. Ishkhanyan and A.E. Grigoryan, "Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function", J. Phys. A 47, 465205 (2014).
47. A.M. Manukyan, T.A. Ishkhanyan, M.V. Hakobyan, and A.M. Ishkhanyan, "A series solution of the general Heun equation in terms of incomplete Beta functions", IJDEA 13(4), 231-239 (2014).
48. A.M. Ishkhanyan, T.A. Shahverdyan, T.A. Ishkhanyan, "Thirty five classes of solutions of the quantum time-dependent two-state problem in terms of the general Heun functions", Eur. Phys. J. D 69, 10 (2015).
49. A.M. Ishkhanyan and V.P. Krainov, "Non-exponential tunneling ionization of atoms by an intense laser field", Laser Phys. Lett. 12, 046002 (2015).
50. C. Leroy and A.M. Ishkhanyan, "Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions", Integral Transforms and Special Functions 26, 451-459 (2015).
51. M.V. Hakobyan, V.M. Red'kov, A.M. Ishkhanyan, "Adiabatic asymmetric scattering of atoms in the field of a standing wave", Laser Phys. 25, 066001 (2015).
52. A.M. Ishkhanyan and V.P. Krainov, "Non-exponential Auger decay", Phys. Lett. A 379, 2041-2043 (2015).
53. A.M. Ishkhanyan, O. Florea, E.M. Ovsiyuk, V.M. Red'kov, "Dirac-Kähler particle in Riemann spherical space: boson interpretation", Canadian J. Phys. 93, 1427-1433 (2015). 
54. T.A. Shahverdyan, T.A. Ishkhanyan, A.E. Grigoryan, A.M. Ishkhanyan, "Analytic solutions of the quantum two-state problem in terms of the double-, bi- and tri-confluent Heun functions", J. Contemp. Physics (Armenian Ac. Sci.) 50, 211-226 (2015).
55. O.V. Veko, K.V. Kazmerchuk, E.M. Ovsiyuk, V.V. Kisel, A.M. Ishkhanyan, V.M. Red'kov, "Spin 1 particle in the magnetic monopole potential, nonrelativistic approximation. Minkowski and Lobachevski spaces", Nonlinear Phenomena in Complex Systems18, 243-258 (2015).
56. A.M. Ishkhanyan, "Exact solution of the Schrödinger equation for the inverse square root potential ", Eur. Phys. Lett. 112, 10006 (2015).
57. A.M. Ishkhanyan, "The Lambert-W step-potential - an exactly solvable confluent hypergeometric potential", Phys. Lett. A 380, 640-644 (2016)
58. A.S. Tarloyan, T.A. Ishkhanyan, and A.M. Ishkhanyan, "Four five-parametric and five four-parametric independent confluent Heun potentials for the stationary Klein-Gordon equation", Ann. Phys. (Berlin) 528, 264-271 (2016).
59. O.V. Veko, K.V. Dashuk, E.M. Ovsiyuk, V.M. Red'kov, A.M. Ishkhanyan, "Hydrogen atom in de Sitter spaces", Nonlinear Phenomena in Complex Systems 19, 16-29 (2016).
60. A.M. Ishkhanyan, "Schrödinger potentials solvable in terms of the confluent Heun functions", Theor. Math. Phys. 188, 980-993 (2016).
61. A.M. Ishkhanyan, "The third exactly solvable hypergeometric quantum-mechanical potential", EPL 115, 20002 (2016).
61. T.A. Ishkhanyan, Y. Pashayan-Leroy, M.R. Gevorgyan, C. Leroy, A.M. Ishkhanyan, "Expansions of the solutions of the biconfluent Heun equation in terms of incomplete Beta and Gamma functions", J. Contemp. Phys. (Arm. Ac. Sci.) 51, 229-236 (2016).
62. A.M. Ishkhanyan, "A singular Lambert-W Schrödinger potential exactly solvable in terms of the confluent hypergeometric functions", Mod. Phys. Lett. A 31, 1650177 (2016).
63. A. Ishkhanyan and V. Krainov, "Discretization of Natanzon potentials", Eur. Phys. J. Plus 131, 342 (2016).
64. A.M. Ishkhanyan, "A conditionally exactly solvable generalization of the inverse square root potential", Phys. Lett. A 380, 3786-3790 (2016).
65. M. Gevorgyan, S. Guérin, C. Leroy, A. Ishkhanyan, and H.R. Jauslin, "Adiabatic tracking for photo- and magneto-association of Bose-Einstein condensates with Kerr nonlinearities", EPJD 70, 253 (2016).
66. S.Yu. Slavyanov, D.A. Satco, A.M. Ishkhanyan, T.A. Rotinyan, "Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients", Theor. Math. Phys. 189, 1726-1733 (2016).
67. T.A. Shahverdyan, V.M. Red’kov, and A.M. Ishkhanyan, "Expansions of the solutions of the general Heun equation in terms of the incomplete Beta functions", NonlinearPhenomena in Complex Systems 19, 395-402 (2016).
68. A.M. Ishkhanyan and V.P. Krainov, "Maslov index for power-law potentials", JETP Lett. 105, 43-46 (2017).
69. A.M. Ishkhanyan and V.P. Krainov, "Semiclassical rates for tunnel ionization from power-law potentials induced by a constant or low-frequency electric field", Laser Phys. Lett. 14, 076001 (2017).
70. 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).
71. G. Saget, A.M. Ishkhanyan, C. Leroy, and T.A. Ishkhanyan, "Two-state model of a general Heun class with periodic level-crossings", J. Contemp. Physics (Armenian Ac. Sci.) 52, 324-334 (2017).
72. V. Dorier, M. Gevorgyan, A. Ishkhanyan, C. Leroy, H.R. Jauslin, and S. Guérin, "Nonlinear stimulated Raman exact passage by resonance-locked inverse engineering", Phys. Rev. Lett. 119, 243902 (2017).
73. T.A. Ishkhanyan, V.A. Manukyan, A.H. Harutyunyan and A.M. Ishkhanyan, "Confluent hypergeometric expansions of the solutions of the double-confluent Heun equation", Armenian J. Phys. 10, 212-223 (2017).
74. A.M. Ishkhanyan, "Schrödinger potentials solvable in terms of the general Heun functions", Ann. Phys. 388, 456-471 (2018).
75. T.A. Ishkhanyan, A.M. Manukyan, and A.M. Ishkhanyan, "A conditionally integrable Schrödinger potential of a bi-confluent Heun class", J. Phys.: Conf. Ser. 965, 012019 (2018).
76. A.M. Ishkhanyan, "Exact solution of the Schrödinger equation for a short range exponential potential with inverse square root singularity", Eur. Phys. J. Plus 133, 83 (2018).
77. T.A. Ishkhanyan, V.A. Manukyan, A.H. Harutyunyan, and A.M. Ishkhanyan, "A new exactly integrable hypergeometric potential for the Schrödinger equation", AIP Advances 8, 035309 (2018).
78. T.A. Ishkhanyan, V.P. Krainov and A.M. Ishkhanyan, "A conditionally integrable bi-confluent Heun potential involving inverse square root and centrifugal barrier terms", Zeitschrift für Naturforschung A 73, 407-414 (2018).
79. T.A. Ishkhanyan, A.H. Harutyunyan, V.A. Manukyan, and A.M. Ishkhanyan, "Accurate treatment of tunnel ionization, induced by a constant electric field, from a power-law singular potential", J. Contemp. Physics (Armenian Ac. Sci.) 53, 105-111 (2018).
80. A.M. Ishkhanyan and V.P. Krainov, "Dissociation of quarkonium in a strong electric field", JETP 126, 633-635 (2018).
81. T.A. Ishkhanyan, T.A. Shahverdyan, and A.M. Ishkhanyan, "Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients", Advances in High Energy Physics 2018, 4263678 (2018).
82. T.A. Ishkhanyan and A.M. Ishkhanyan, "Generalized confluent hypergeometric solutions of the Heun confluent equation", Appl. Math. Comput. 338, 624-630 (2018).

Awards
1. NATO Collaborative Research Grant # CRG-974301 //Quantum Interference Effects in Atom Optics. / 1998-1999
2. ISTC # A-215 //Anomalous scattering of atoms in the field of a standing wave. / 1999-2002
3. ANSEF # PS1-2001 //Optical Control of Cold Atom Motion. / 2001
4. NFSAT/CRDF # PH 100-02/CRDF-12042 (BGP-III), U.S. Collaborator - Prof. J. Javanainen, University of Connecticut, USA // Cold Atoms in an Optical Lattice. / 2003-2004
5. ANSEF # PS13-2003 //Optical Control of Bose-Einstein Condensates. / 2003
6. ANSEF # 05-PS-Condmatth-730-43 //Nonlinear optics with surface modes on smooth interfaces. / 2005
7. ISTC # A-1241 //Monograph "Non-Linear Quantum Few-State Models". / 2005-2007
8. Cubic-Nonlinear Quantum Few-State Models // PS-1692, ANSEF - Armenian National Science and Education Fund. / 2009
9. Solutions to the Heun equations in terms of simpler mathematical functions // PS-2186, ANSEF -Armenian National Science and Education Fund. / 2010
10. Quantum Nonlinear Landau-Zener tunneling // PS-2591, ANSEF - Armenian National Science and Education Fund. / 2011
11. Nonlinear Landau-Zener tunneling // 11РБ-026, ՀՀ ԿԳՆ Գիտպետկոմ, ԳՊԿ-ՀՀԲՀՀ-2011 մրցույթ: / 2011-2013
12. Development and application of the Heun functions in cosmology and quantum mechanics // 13RB-052, ՀՀ ԿԳՆ Գիտպետկոմ, ԳՊԿ-ՀՀԲՀՀ-2013 մրցույթ: / 2014-2016
13. Nonlinear quantum few-state models with dissipation // 15T-1C323, ՀՀ ԿԳՆ Գիտպետկոմ: / 2015-2017
14. Քվանտային երկմակարդակ խնդրի անալիտիկ մոդելներ // ՀՀ Նախագահի մրցանակ ֆիզիկայի ոլորտում / 2015
15. Series expansions of Heun functions with applications in physics and mathematics // PS-4558, ANSEF - Armenian National Science and Education Fund. / 2017
16. Quantum transmission of nonlinear matter-waves through nanostructures // 18RF-139, Armenian Committee of Science. / 2018-2020
17. Quantum mechanics of elementary particles with additional internal structure and the large-scale structure of space-time // PS-4986, ANSEF - Armenian National Science and Education Fund. / 2018
18. Quantum mechanics of elementary particles with additional internal structure and the large-scale structure of space-time // 18T-1C276, Armenian Committee of Science. / 2018-2020
19. Development of the theory of the Heun functions and applications in mathematics and physics // Russian-Armenian (Slavonic) University / 2018-2020

Languages: Armenian, Russion, English

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