84 citations · 384 across the 17 of their papers we have counts for
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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.…
Exact solution of the Schrödinger equation for a short-range exponential potential with inverse square root singularity
A. M. Ishkhanyan
We introduce an exactly integrable singular potential for which the solution of the one-dimensional stationary Schrödinger equation is written through irreducible linear combinatio…
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…
The third five-parametric hypergeometric quantum-mechanical potential
T. A. Ishkhanyan, A. M. Ishkhanyan
We introduce the third five-parametric ordinary hypergeometric energy-independent quantum-mechanical potential, after the Eckart and Pöschl-Teller potentials, which is proportional…