SU(1,1) Lie algebra applied to the general time-dependent quadratic Hamiltonian system
From MaRDI portal
Publication:873183
DOI10.1007/S10773-006-9050-2zbMath1126.81030OpenAlexW2091328326WikidataQ115383777 ScholiaQ115383777MaRDI QIDQ873183
Jeong-Ryeol Choi, In Hyun Nahm
Publication date: 28 March 2007
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-006-9050-2
Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30)
Related Items (9)
A hybrid approach for quantizing complicated motion of a charged particle in time-varying magnetic field ⋮ Entropy and information of a harmonic oscillator in a time-varying electric field in 2D and 3D noncommutative spaces ⋮ Squeezing and resonance in a generalized Caldirola-Kanai type quantum parametric oscillator ⋮ Exactly solvable Hermite, Laguerre, and Jacobi type quantum parametric oscillators ⋮ Lie transformation method on quantum state evolution of a general time-dependent driven and damped parametric oscillator ⋮ Coherent states of the inverted Caldirola-Kanai oscillator with time-dependent singularities ⋮ SU\((1,1)\) coherent states for the generalized two-mode time-dependent quadratic Hamiltonian system ⋮ Time-evolution of squeezed coherent states of a generalized quantum parametric oscillator ⋮ TIME-DEPENDENT WIGNER DISTRIBUTION FUNCTION EMPLOYED IN SQUEEZED SCHRÖDINGER CAT STATES: |Ψ(t)〉 = N-1/2(|β〉+eiϕ|-β〉)
Cites Work
- Unnamed Item
- Generalized phase states and dynamics of generalized coherent states
- Gaussian Klauder coherent states of general time-dependent harmonic oscillator
- Exact Quantization Conditions. II
- OPERATOR METHOD FOR A NONCONSERVATIVE HARMONIC OSCILLATOR WITH AND WITHOUT SINGULAR PERTURBATION
- Coherent and Incoherent States of the Radiation Field
This page was built for publication: SU(1,1) Lie algebra applied to the general time-dependent quadratic Hamiltonian system
