6 citations · 10 across the 3 of their papers we have counts for
6 papers
Inverse square root level-crossing quantum two-state model
T. A. Ishkhanyan, A. V. Papoyan, A. M. Ishkhanyan +1
We introduce a new unconditionally solvable level-crossing two-state model given by a constant-amplitude optical field configuration for which the detuning is an inverse-square-roo…
A Schrödinger potential involving and centrifugal-barrier terms conditionally integrable in terms of the confluent hypergeometric functions
V. A. Manukyan, T. A. Ishkhanyan, A. M. Ishkhanyan
The solution of the one-dimensional Schrödinger equation for a potential involving an attractive and a repulsive centrifugal-barrier terms is presente…
Hypergeometric expansions of the general Heun function governed by two-term recurrence relations
T. A. Ishkhanyan, A. M. Ishkhanyan
We show that there exist infinitely many particular choices of parameters for which the three-term recurrence relations governing the expansions of the solutions of the general Heu…
A new exactly integrable hypergeometric potential for the Schrödinger equation
T. A. Ishkhanyan, V. A. Manukyan, A. H. Harutyunyan +1
We introduce a new exactly integrable potential for the Schrödinger equation for which the solution of the problem may be expressed in terms of the Gauss hypergeometric functions.…
A conditionally integrable Schrödinger potential of a bi-confluent Heun class
T. A. Ishkhanyan, A. M. Manukyan, A. M. Ishkhanyan
We present a bi-confluent Heun potential for the Schrödinger equation involving inverse fractional powers and a repulsive centrifugal-barrier term the strength of which is fixed to…
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…