Deformed quantum harmonic oscillator with diffusion and dissipation

DOI10.1016/S0378-4371(02)00775-6zbMath0995.82030arXivquant-ph/0703164OpenAlexW1976037504MaRDI QIDQ1600255

W. Scheid, A. Isar

Publication date: 12 June 2002

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0703164

zbMATH Keywords

perturbation theorymaster equationthermal bath

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Related Items (3)

Oscillators with symmetric and asymmetric quadratic nonlinearity ⋮ Decoherence of spin-deformed bosonic model ⋮ Lindblad master equation for the damped harmonic oscillator with deformed dissipation

Cites Work

• On the generators of quantum dynamical semigroups
• Diagonal harmonious state representations
• PHYSICAL NONLINEAR ASPECTS OF CLASSICAL AND QUANTUM q-OSCILLATORS
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On the q oscillator and the quantum algebra su_q(1,1)
• Generalized deformed oscillator and nonlinear algebras
• A deformed oscillator with Coulomb energy spectrum
• Quantum Dynamics of a Damped Deformed Oscillator
• An Open Systems Approach to Quantum Optics
• Correspondence between Pierce's Coupled Mode Amplitudes and Quantum Operators
• Quantum Optics

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