A. Ishkhanyan

activity

20092020

most citedExpansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions

27 citations · 52 across the 6 of their papers we have counts for

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quant-ph2020★ 4 cited

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…

quant-ph2019

A Schrödinger potential involving $x^{\frac{2}{3}}$ 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 $x^{\frac{2}{3}}$ and a repulsive centrifugal-barrier $\sim x^{- 2}$ terms is presente…

quant-ph2017★ 6 cited

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…

Inverse square root level-crossing quantum two-state model

A Schrödinger potential involving x32​ and centrifugal-barrier terms conditionally integrable in terms of the confluent hypergeometric functions

A periodic level-crossing two-state model of a general Heun class

A Schrödinger potential involving $x^{\frac{2}{3}}$ and centrifugal-barrier terms conditionally integrable in terms of the confluent hypergeometric functions