Reduction by symmetries in singular quantum-mechanical problems: General scheme and application to Aharonov-Bohm model

DOI10.1063/1.4936305zbMath1330.81095arXiv1411.5351OpenAlexW3104338662MaRDI QIDQ3463240

Alexander G. Smirnov

Publication date: 12 January 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5351

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Invariant subspaces of linear operators (47A15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Motion of charged particles (78A35)

Related Items (2)

Eigenfunction expansions for the Schrödinger equation with an inverse-square potential ⋮ Coupling constant dependence for the Schrödinger equation with an inverse-square potential

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