Zeta functions for the spectrum of the non-commutative harmonic oscillators

DOI10.1007/s00220-005-1308-7zbMath1145.81031OpenAlexW2042226169MaRDI QIDQ2571151

Masato Wakayama, Takashi Ichinose

Publication date: 1 November 2005

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

Full work available at URL: https://doi.org/10.1007/s00220-005-1308-7

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Other Dirichlet series and zeta functions (11M41) Miscellaneous applications of number theory (11Z05)

Related Items (18)

Determinant Expressions of Constraint Polynomials and the Spectrum of the Asymmetric Quantum Rabi Model ⋮ A variation of multiple $L$-values arising from the spectral zeta function of the non-commutative harmonic oscillator ⋮ Simplicity of the lowest eigenvalue of non-commutative harmonic oscillators and the Riemann scheme of a certain Heun's differential equation ⋮ The heat kernel of the asymmetric quantum Rabi model ⋮ 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 ⋮ Non-commutative harmonic oscillators and related problems ⋮ On the spectrum of certain noncommutative harmonic oscillators ⋮ On the essential spectrum of certain non-commutative oscillators ⋮ On the spectral zeta function for the noncommutative harmonic oscillator ⋮ On the spectrum of certain non-commutative harmonic oscillators and semiclassical analysis ⋮ Number Theoretic Study in Quantum Interactions ⋮ On a conjecture of Kimoto and Wakayama ⋮ On a sum of Apéry-like numbers arising from spectral zeta functions ⋮ Non-commutative Harmonic Oscillators ⋮ SPECTRAL ZETA FUNCTIONS FOR THE QUANTUM RABI MODELS ⋮ Remarks on the hidden symmetry of the asymmetric quantum Rabi model ⋮ Heat kernel for the quantum Rabi model: II. Propagators and spectral determinants

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