291 citations
- National Academy of Sciences of ArmeniaAM59 papers
- Centre National de la Recherche ScientifiqueFR44 papers
- Laboratoire Interdisciplinaire Carnot de BourgogneFR39 papers
- Yerevan State UniversityAM34 papers
- Université de BourgogneFR32 papers
- Moscow Institute of Physics and TechnologyRU28 papers
- Russian-Armenian UniversityAM22 papers
- Tomsk Polytechnic UniversityRU19 papers
- Durham UniversityGB13 papers
- University of KaiserslauternDE11 papers
- A. Alikhanyan National LaboratoryAM10 papers
- Armenian State Pedagogical University after Khachatur AbovianAM10 papers
5 papers · 2 filters
A conditionally integrable bi-confluent Heun potential involving inverse square root and centrifugal barrier terms
T. A. Ishkhanyan, V. P. Krainov, A. M. Ishkhanyan
We present a conditionally integrable potential, belonging to the bi-confluent Heun class, for which the Schrödinger equation is solved in terms of the confluent hypergeometric fun…
A periodic level-crossing two-state model of a general Heun class
G. Saget, A. M. Ishkhanyan, C. Leroy +1
We present a specific constant-amplitude periodic level-crossing model of the semi-classical quantum time-dependent two-state problem that belongs to a general Heun class of field…
Semiclassical rates for tunnel ionization from power-law potentials induced by a constant or low-frequency electric field
A. M. Ishkhanyan, V. P. Krainov
The probabilities of tunnel ionization of particles confined by one-dimensional power-law and logarithmic potentials are calculated for constant and low-frequency electric fields.
Maslov index for power-law potentials
A. M. Ishkhanyan, V. P. Krainov
The Maslov index in the semiclassical Bohr-Sommerfeld quantization rule is calculated for one-dimensional power-law potentials. The result for the inverse square root potential is…
Adiabatic tracking for photo- and magneto-association of Bose-Einstein condensates with Kerr nonlinearities
M. Gevorgyan, S. Guérin, C. Leroy +2
We develop the method of adiabatic tracking for photo- and magneto-association of Bose-Einstein atomic condensates with models that include Kerr type nonlinearities. We show that t…