Non-commutative harmonic oscillators and Fuchsian ordinary differential operators

DOI10.1007/s002200100362zbMath0982.34070OpenAlexW2041632124MaRDI QIDQ5940449

No author found.

Publication date: 9 August 2001

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

Full work available at URL: https://doi.org/10.1007/s002200100362

zbMATH Keywords

harmonic oscillatorFuchsian (Heun's) operatorLie algebra representationspectral problem

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Applications of Lie (super)algebras to physics, etc. (17B81) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items

Simplicity of the lowest eigenvalue of non-commutative harmonic oscillators and the Riemann scheme of a certain Heun's differential equation ⋮ Covering families of the asymmetric quantum Rabi model: \(\eta\)-shifted non-commutative harmonic oscillators ⋮ Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals ⋮ A special value of the spectral zeta function of the non-commutative harmonic oscillators ⋮ Non-commutative harmonic oscillators and related problems ⋮ On the spectrum of certain noncommutative harmonic oscillators ⋮ On the essential spectrum of certain non-commutative oscillators ⋮ Non-commutative harmonic oscillators and the connection problem for the Heun differential equation ⋮ On the spectral zeta function for the noncommutative harmonic oscillator ⋮ On the spectrum of certain non-commutative harmonic oscillators and semiclassical analysis ⋮ Non-commutative Harmonic Oscillators ⋮ Zeta functions for the spectrum of the non-commutative harmonic oscillators ⋮ Spectral analysis of non-commutative harmonic oscillators: the lowest eigenvalue and no crossing

This page was built for publication: Non-commutative harmonic oscillators and Fuchsian ordinary differential operators