59 citations · 282 across the 16 of their papers we have counts for
16 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 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…
Expansions of the solutions of the general Heun equation in terms of the incomplete Beta functions
T. A. Shahverdyan, V. M. Red'kov, A. M. Ishkhanyan
Applying the approach based on the equation for the derivative, we construct several expansions of the solutions of the general Heun equation in terms of the incomplete Beta functi…
Solutions of the bi-confluent Heun equation in terms of the Hermite functions
T. A. Ishkhanyan, A. M. Ishkhanyan
We construct an expansion of the solutions of the bi-confluent Heun equation in terms of the Hermite functions. The series is governed by a three-term recurrence relation between s…