METHODS OF THEORETICAL PHYSICS

On the twofold Moutard transformation of the stationary Schrгöinger equation with axial symmetry

A. G. Kudryavtsev

Institute of Applied Mechanics, Russian Academy of Sciences, Moscow, 125040 Russia

Abstract: The generalized Moutard transformation of the stationary axially symmetric Schrödinger equation is considered. It is shown that a superposition of two Moutard transformations can provide new potentials for the eigenvalue problem. Examples of two-dimensional potentials and exact solutions for the stationary axially symmetric Schrödinger equation are obtained as an application of the twofold Moutard transformation.

Received: 02.02.2024
Revised: 02.02.2024
Accepted: 28.02.2024

DOI: 10.31857/S1234567824070103

 English version: Journal of Experimental and Theoretical Physics Letters, 2024, 119:7, 534–537