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arXiv · 2401.16064

On the twofold Moutard transformation of the stationary Schr\"odinger equation with axial symmetry

Andrey Kudryavtsev
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Abstract

The generalized Moutard transformation of the stationary axially symmetric Schr\"odinger 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 Schr\"odinger equation are obtained as an application of the twofold Moutard transformation.

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Andrey Kudryavtsev. 2024-01-29. On the twofold Moutard transformation of the stationary Schr\"odinger equation with axial symmetry. https://arxiv.org/abs/2401.16064

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