Transformation operators for spherical Schrödinger operators

DOI10.1016/j.jmaa.2019.123430zbMath1423.81187arXiv1805.10526OpenAlexW2804006515MaRDI QIDQ2325973

Markus Holzleitner

Publication date: 4 October 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.10526

zbMATH Keywords

scatteringSchrödinger equationtransformation operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items

A transmutation operator method for solving the inverse quantum scattering problem ^* ⋮ Inverse spectral problems for radial Schrödinger operators and closed systems

Uses Software

• DLMF

Cites Work

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• Schrödinger Operators on a Half-Line with Inverse Square Potentials
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• Dispersion estimates for spherical Schrödinger equations with critical angular momentum
• Generalized wave polynomials and transmutations related to perturbed Bessel equations
• Symmetries of Differential Equations. The Hypergeometric and Euler–Darboux Equations

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