27 citations · 48 across the 5 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…
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…
Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions
C. Leroy, A. M. Ishkhanyan
We construct several expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta functions and the Appell generalized hypergeometric functions of two…
Incomplete beta-function expansions of the solutions to the confluent Heun equation
Artur Ishkhanyan
Several expansions of the solutions to the confluent Heun equation in terms of incomplete Beta functions are constructed. A new type of expansion involving certain combinations of…