Eigenfunction expansions for the Schrödinger equation with an inverse-square potential
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Publication:309332
DOI10.1134/S0040577916050123zbMath1346.81036arXiv1508.07747MaRDI QIDQ309332
Publication date: 7 September 2016
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.07747
Schrödinger equationeigenfunction expansionTitchmarsh-Weyl \(m\)-functionself-adjoint extensioninverse-square potential
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse scattering problems in quantum theory (81U40)
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Cites Work
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- Spectral theory of ordinary differential operators
- The Bessel differential equation and the Hankel transform
- Weyl-Titchmarsh Theory for Schrodinger Operators with Strongly Singular Potentials
- Reduction by symmetries in singular quantum-mechanical problems: General scheme and application to Aharonov-Bohm model
- Titchmarsh-Weyl m -functions for second-order Sturm-Liouville problems with two singular endpoints
- Self-adjoint extensions and spectral analysis in the Calogero problem
- On spectral theory for Schrödinger operators with strongly singular potentials
- The Eigenvalue Problem for Ordinary Differential Equations of the Second Order and Heisenberg's Theory of S-Matrices