Some physical appearances of vector coherent states and coherent states related to degenerate Hamiltonians

DOI10.1063/1.1901343zbMath1110.81106arXivquant-ph/0410151OpenAlexW3105359738MaRDI QIDQ3438441

Fabio Bagarello, Syed Twareque Ali

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0410151

Mathematics Subject Classification ID

Quantum optics (81V80) Quantum equilibrium statistical mechanics (general) (82B10) Coherent states (81R30) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (14)

Degenerate discrete energy spectra and associated coherent states ⋮ Bounded version of bosonic creation and annihilation operators and their related quasicoherent states ⋮ ( p , q ) deformations and (p,q)-vector coherent states of the Jaynes-Cummings model in the rotating wave approximation ⋮ Coherent states in magnetized anisotropic 2D Dirac materials ⋮ Unitary maps on Hamiltonians of an electron moving in a plane and coherent state construction ⋮ Ladder operators with no vacuum, their coherent states, and an application to graphene ⋮ Supersymmetric associated vector coherent states and generalized Landau levels arising from two-dimensional supersymmetry ⋮ Density operator formulation for magnetic systems: Physical and mathematical aspects ⋮ Coherent States and Their Generalizations for a Charged Particle in a Magnetic Field ⋮ Density operator representation in multi-matrix vector coherent states: Landau problem in a harmonic potential background ⋮ Time-dependent q-deformed bi-coherent states for generalized uncertainty relations ⋮ Phase operators, phase states and vector phase states for SU3 and SU2, 1 ⋮ Ladder operators and coherent states for the Jaynes-Cummings model in the rotating-wave approximation ⋮ Density operator formulation for a supersymmetric harmonic oscillator: vector coherent state construction and statistical properties

Cites Work

• Unnamed Item
• On the equilibrium states in quantum statistical mechanics
• Vector coherent states from Plancherel's theorem, Clifford algebras and matrix domains
• Coherent states for systems with discrete and continuous spectrum
• Coherent states for the hydrogen atom
• Multidimensional generalized coherent states
• Geometric quantization: Modular reduction theory and coherent states
• A class of vector coherent states defined over matrix domains

This page was built for publication: Some physical appearances of vector coherent states and coherent states related to degenerate Hamiltonians