Eigenvalue asymptotics of a modified Jaynes--Cummings model with periodic modulations.

DOI10.1016/j.crma.2003.12.001zbMath1037.47019OpenAlexW2044226498MaRDI QIDQ1426558

Luis O. Silva, Serguei Naboko, Anne Boutet de Monvel-Berthier

Publication date: 15 March 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.12.001

zbMATH Keywords

Hermitian Jacobi matricessuccessive diagonalization method

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Quantum optics (81V80) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (7)

Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices ⋮ Approximation and asymptotics of eigenvalues of unbounded self-adjoint Jacobi matrices acting in \(l^{2}\) by the use of finite submatrices ⋮ Asymptotic formula for large eigenvalues of the two-photon quantum Rabi model ⋮ Behaviour of large eigenvalues for the asymmetric quantum Rabi model ⋮ Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices ⋮ Asymptotics of large eigenvalues for some discrete unbounded Jacobi matrices ⋮ Explicit Error Estimates for Eigenvalues of Some Unbounded Jacobi Matrices

Cites Work

• Infinite Jacobi Matrices with Unbounded Entries: Asymptotics of Eigenvalues and the Transformation Operator Approach
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