23 citations · 23 across the 1 of their papers we have counts for
5 papers
Hermite function solutions of the Schrödinger equation for the sextic oscillator
A. M. Ishkhanyan, G. Lévai
We examine the conditions under which the solution of the radial stationary Schrödinger equation for the sextic anharmonic oscillator can be expanded in terms of Hermite functions.…
Exact solutions of the sextic oscillator from the bi-confluent Heun equation
G. Lévai, A. M. Ishkhanyan
The sextic oscillator is discussed as a potential obtained from the bi-confluent Heun equation after a suitable variable transformation. Following earlier results, the solutions of…
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…