84 citations · 384 across the 17 of their papers we have counts for
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A conditionally exactly solvable generalization of the inverse square root potential
A. M. Ishkhanyan
We present a conditionally exactly solvable singular potential for the one-dimensional Schrödinger equation which involves the exactly solvable inverse square root potential. Each…
Exact solution of the Schrödinger equation for the inverse square root potential
A. M. Ishkhanyan
We present the exact solution of the stationary Schrödinger equation equation for the potential . Each of the two fundamental solutions that compose the general s…
The Lambert-W step-potential - an exactly solvable confluent hypergeometric potential
A. M. Ishkhanyan
We present an asymmetric step-barrier potential for which the one-dimensional stationary Schrödinger equation is exactly solved in terms of the confluent hypergeometric functions.…
Discretization of Natanzon potentials
A. Ishkhanyan, V. Krainov
We show that the Natanzon family of potentials is necessarily dropped into a restricted set of distinct potentials involving a fewer number of independent parameters if the potenti…