SPECTRAL ZETA FUNCTIONS FOR THE QUANTUM RABI MODELS

DOI10.1017/nmj.2016.62zbMath1426.11085OpenAlexW2558271558MaRDI QIDQ3119504

Shingo Sugiyama

Publication date: 12 March 2019

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/nmj.2016.62

zbMATH Keywords

Weyl lawquantum Rabi modelHurwitz-type spectral zeta functionRabi-Bernoulli polynomial

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Other Dirichlet series and zeta functions (11M41) Applications of functional analysis in quantum physics (46N50)

Related Items (10)

Determinant Expressions of Constraint Polynomials and the Spectrum of the Asymmetric Quantum Rabi Model ⋮ 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 ⋮ On the spectral zeta function of second order semiregular non-commutative harmonic oscillators ⋮ Number Theoretic Study in Quantum Interactions ⋮ Extended Divisibility Relations for Constraint Polynomials of the Asymmetric Quantum Rabi Model ⋮ Symmetry of asymmetric 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

Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• A mathematical approach to research problems of science and technology. Theoretical basis and developments in mathematical modeling
• Non-commutative harmonic oscillators and related problems
• Complex powers of vector valued operators and their application to asymptotic behavior of eigenvalues
• Spectral theory of non-commutative harmonic oscillators: an introduction
• Spectral functions, special functions and the Selberg zeta function
• Full spectrum of the Rabi model
• R-torsion and the Laplacian on Riemannian manifolds
• Analytic torsion for complex manifolds
• Zeta functions for the spectrum of the non-commutative harmonic oscillators
• The quantum Rabi model and Lie algebra representations of $\mathfrak{s}{{\mathfrak{l}}_{2}}$
• Non-commutative harmonic oscillators-II
• APÉRY-LIKE NUMBERS ARISING FROM SPECIAL VALUES OF SPECTRAL ZETA FUNCTIONS FOR NON-COMMUTATIVE HARMONIC OSCILLATORS
• On the spectrum of a two-level system
• Proprietes spectrales d'operators pseduo-differentiels
• Zeta Regularized Products
• Non-commutative harmonic oscillators-I
• On the Process of Space Quantization
• Space Quantization in a Gyrating Magnetic Field

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