Equivalence Between the Eigenvalue Problem of Non-Commutative Harmonic Oscillators and Existence of Holomorphic Solutions of Heun Differential Equations, Eigenstates Degeneration, and the Rabi Model

DOI10.1093/imrn/rnv145zbMath1346.34057OpenAlexW2203901513MaRDI QIDQ2796763

Masato Wakayama

Publication date: 29 March 2016

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/12185f66004e9dd7b7183ccaa3f19fca228e2cff

zbMATH Keywords

eigenvalue problemRabi modelnon-commutative harmonic oscillatorHeun equations

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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