GENERALIZED DEFORMED HARMONIC OSCILLATORS IN THE FRAMEWORK OF UNIFIED (q; α, β, γ; ν)-DEFORMATION

DOI10.1142/S0217732310033050zbMath1193.81053MaRDI QIDQ3583214

I. M. Burban

Publication date: 26 August 2010

Published in: Modern Physics Letters A (Search for Journal in Brave)

zbMATH Keywords

generalized deformed oscillatorKerr mediumBarut-Girardello type coherent states

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (1)

SINGLE BOSON AND INVERSION BOSON REALIZATIONS OF MULTI-PARAMETER NONLINEARLY DEFORMED ANGULAR MOMENTUM ALGEBRA

Cites Work

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• On \((p,q,\alpha,\beta, l\))-deformed oscillator and its generalized quantum Heisenberg-Weyl algebra
• New 'coherent' states associated with non-compact groups
• Coherent states for arbitrary Lie group
• Unified (q; α, β, γ; ν)-deformation of one-parametricq-deformed oscillator algebras
• On quantization of simple harmonic oscillators
• Generalized deformed oscillator and nonlinear algebras
• Energy spectrum, potential and inertia functions of a generalizedf-oscillator
• Coherent and Incoherent States of the Radiation Field
• Non-Adiabatic Meson Theory of Nuclear Forces

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