Lewis-Riesenfeld quantization and SU(1, 1) coherent states for 2D damped harmonic oscillator
DOI10.1063/1.5045621zbMath1404.35381arXiv1805.02484OpenAlexW3100279464MaRDI QIDQ4561698
Gabriel Y. H. Avossevou, Laure Gouba, Latévi Mohamed Lawson
Publication date: 12 December 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.02484
Problems involving a system of particles with friction (70F40) Forced motions in linear vibration theory (70J35) Exactly and quasi-solvable systems arising in quantum theory (81U15) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Parametric resonances in linear vibration theory (70J40) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (6)
Cites Work
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- A hybrid approach for quantizing complicated motion of a charged particle in time-varying magnetic field
- Factorization method and special orthogonal functions
- Exact linear invariants and quantum effects in the early Universe
- Time-dependent 2D harmonic oscillator in presence of the Aharanov-Bohm effect
- SU\((1,1)\) coherent states for the generalized two-mode time-dependent quadratic Hamiltonian system
- Landau problem with a general time-dependent electric field
- An alternative model of the damped harmonic oscillator under the influence of external force
- Construction of exact invariants for time-dependent classical dynamical systems
- A soluble gauge model with Gribov-type copies
- The exact solution for the generalized time-dependent harmonic oscillator and its adiabatic limit
- New generalized coherent states arising from generating functions: a novel approach
- New 'coherent' states associated with non-compact groups
- Coherent states for arbitrary Lie group
- Class of invariants for the two-dimensional time-dependent Landau problem and harmonic oscillator in a magnetic field
- Coherent states and geometric phases of a generalized damped harmonic oscillator with time-dependent mass and frequency
- Feynman propagator for time-dependent Lagrangians possessing an invariant quadratic in momentum
- Quantal phase factors accompanying adiabatic changes
- COMPLETE EXACT QUANTUM STATES OF THE GENERALIZED TIME-DEPENDENT HARMONIC OSCILLATOR
- Canonical transformations and exact invariants for dissipative systems
- Generalized Berry phase for the most general time-dependent damped harmonic oscillator
- SU(1,1) Lie algebraic approach to linear dissipative processes in quantum optics
- On a Generalization of the Lewis Invariant for the Time-Dependent Harmonic Oscillator
- Thermodynamics of the standard quantum harmonic oscillator of time-dependent frequency with and without inverse quadratic potential
- Landau problem with time dependent mass in time dependent electric and harmonic background fields
- Barut-Girardello coherent states of the pseudoharmonic oscillator
- The SU(1, 1) Perelomov number coherent states and the non-degenerate parametric amplifier
- Exact Quantization Conditions. II
- COHERENT STATES FOR GENERALIZED LAGUERRE FUNCTIONS
- Generalized Grassmann variables for quantum kit (k-level) systems and Barut–Girardello coherent states for su(r + 1) algebras
- The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0
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