Uncertainties of coherent states for a generalized supersymmetric annihilation operator

DOI10.1063/1.4772607zbMath1280.81076OpenAlexW1981314497MaRDI QIDQ5396236

Fredy R. Zypman, Mordechai Kornbluth

Publication date: 5 February 2014

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

Full work available at URL: https://doi.org/10.1063/1.4772607

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Coherent states (81R30) Supersymmetry and quantum mechanics (81Q60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (2)

Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations ⋮ Density operator formulation for a supersymmetric harmonic oscillator: vector coherent state construction and statistical properties

Cites Work

• Supersymmetric extension of non-Hermitian \(su(2)\) Hamiltonian and supercoherent states
• Minimum uncertainty wavelets in non-relativistic super-symmetric quantum mechanics
• sh\((2/2)\) superalgebra eigenstates and generalized supercoherent and supersqueezed states
• Quaternionic vector coherent states and the supersymmetric harmonic oscillator
• The algebra eigenstates method for some systems with spin-like interactions
• Supercoherent states
• Ladder operators and coherent states for the Jaynes-Cummings model in the rotating-wave approximation
• ( p , q ) deformations and (p,q)-vector coherent states of the Jaynes-Cummings model in the rotating wave approximation
• Generalized and Gaussian coherent states for the Morse potential
• Canonical and nonlinear vector coherent states of generalized models with spin-orbit interaction
• Comments of the definitions of coherent states for the SUSY harmonic oscillator
• General sets of coherent states and the Jaynes$ndash$Cummings model
• Generalized coherent and squeezed states based on the h(1)⊕su(2) algebra
• Coherent states for Hamiltonians generated by supersymmetry
• Coherent and Incoherent States of the Radiation Field
• Theory of super phase-space representations and supercoherent states

This page was built for publication: Uncertainties of coherent states for a generalized supersymmetric annihilation operator