The damped harmonic oscillator in deformation quantization

DOI10.1016/j.physleta.2005.12.013zbMath1187.81174arXivquant-ph/0510150OpenAlexW1972026311MaRDI QIDQ973610

Giuseppe Dito, Francisco J. Turrubiates

Publication date: 2 June 2010

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0510150

zbMATH Keywords

deformation quantizationdissipative systemsquantum mechanics

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items (12)

On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator ⋮ The Weyl‐Wigner‐Moyal Formalism on a Discrete Phase Space. I. A Wigner Function for a Nonrelativistic Particle with Spin ⋮ Overlaps of deformed and non-deformed harmonic oscillator basis states ⋮ (1 + 1) Newton–Hooke group for the simple and damped harmonic oscillator ⋮ Weyl-Wigner-Moyal formalism for Fermi classical systems ⋮ GENERALIZED COHERENT STATES APPROACH TO DEFORMATION QUANTIZATION ⋮ Deformation quantization of a certain type of open systems ⋮ Quantum integrals of motion for variable quadratic Hamiltonians ⋮ Exact wave functions and coherent states for a forced damped harmonic oscillator ⋮ On Wigner functions and a damped star product in dissipative phase-space quantum mechanics ⋮ DEFORMATION QUANTIZATION OF RELATIVISTIC PARTICLES IN ELECTROMAGNETIC FIELDS ⋮ DISSIPATIVE SCALAR FIELD THEORY VIA DEFORMATION QUANTIZATION

Cites Work

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• Deformation theory and quantization. II: Physical applications
• Stationary states of dissipative quantum systems
• Deformation quantization of Poisson manifolds
• On the deformation of rings and algebras. III
• Dissipation in Quantum Mechanics. The Harmonic Oscillator
• Quantum mechanics of damped systems
• STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION

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