Bogoliubov transformations and exact isolated solutions for simple nonadiabatic Hamiltonians

DOI10.1063/1.1490406zbMath1060.81013arXivquant-ph/0112061OpenAlexW1993190278MaRDI QIDQ4832698

R. F. Bishop, Clive Emary

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0112061

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) Coherent states (81R30)

Related Items (11)

Quantum criticality driven by the cavity coupling in the Rabi-dimer model ⋮ Hidden \(sl(2)\)-algebraic structure in Rabi model and its 2-photon and two-mode generalizations ⋮ Asymptotic formula for large eigenvalues of the two-photon quantum Rabi model ⋮ The quantum Rabi model: solution and dynamics ⋮ Analytical method of spectra calculations in the Bargmann representation ⋮ A generalized G‐function for the Quantum Rabi Model ⋮ Full spectrum of the Rabi model ⋮ Asymptotic Behavior of Large Eigenvalues of the Two-Photon Rabi Model ⋮ Two-photon Rabi–Stark model ⋮ Level crossings and new exact solutions of the two-photon Rabi model ⋮ Exact analysis of the spectral properties of the anisotropic two-bosons Rabi model

Cites Work

• On a Hilbert space of analytic functions and an associated integral transform part I
• On the spectrum of a two-level system
• Generalised coherent states and Bogoliubov transformations
• Two-level system in a one-mode quantum field: numerical solution on the basis of the operator method
• Coherent and Incoherent States of the Radiation Field

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