Algebraic approach and Berry phase of a Hamiltonian with a general SU (1, 1) symmetry
DOI10.1063/5.0027957zbMath1469.81020arXiv2008.13271OpenAlexW3081651864WikidataQ114103835 ScholiaQ114103835MaRDI QIDQ5009720
R. Valencia, D. Ojeda-Guillén, E. Choreño
Publication date: 5 August 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.13271
Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Applications of group representations to physics and other areas of science (20C35)
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Cites Work
- Two-mode generalization of the Jaynes-Cummings and anti-Jaynes-Cummings models
- The most general solution for the wave equation of the transformed Tavis-Cummings model
- Quantum Rabi Oscillation: A Direct Test of Field Quantization in a Cavity
- A generalized Jaynes-Cummings model: The relativistic parametric amplifier and a single trapped ion
- Quantum Fluctuations and Noise in Parametric Processes. I.
- Analytic representations in quantum mechanics
- Quantal phase factors accompanying adiabatic changes
- Berry phase in a two-atom Jaynes–Cummings model with Kerr medium
- Exact solution of generalized Tavis - Cummings models in quantum optics
- Algebraic approach to the Tavis-Cummings model with three modes of oscillation
- Periodic Spontaneous Collapse and Revival in a Simple Quantum Model
- The su(1,1) Tavis-Cummings model
- Berry phase in arbitrary dimensions
- Berry phase of the Tavis-Cummings model with three modes of oscillation
- Exact Quantization Conditions. II
- Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
- Coherence in Spontaneous Radiation Processes
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