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On the Twofold Moutard Transformation of the Stationary Schrödinger Equation with Axial Symmetry

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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.

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

    A. G. Kudryavtsev

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Kudryavtsev, A.G. On the Twofold Moutard Transformation of the Stationary Schrödinger Equation with Axial Symmetry. Jetp Lett. (2024). https://doi.org/10.1134/S0021364024600290

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