Displacement-operator squeezed states. I. Time-dependent systems having isomorphic symmetry algebras

DOI10.1063/1.531836zbMath0867.58075arXivquant-ph/9608008OpenAlexW3102623686MaRDI QIDQ2785736

D. Rodney Truax, Michael Martin Nieto

Publication date: 14 August 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9608008

zbMATH Keywords

squeezed statesspace-time symmetryBogoliubov transformationsdisplacement-operator methodisomorphic symmetry algebras

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of PDEs on manifolds (58J90) Special relativity (83A05)

Related Items (8)

SCHRÖDINGER EQUATIONS WITH TIME-DEPENDENT P² AND X² TERMS ⋮ A geometric approach to time evolution operators of Lie quantum systems ⋮ A consistent bridge for the construction of generalized nonclassical states for confined systems through the inclusion of inverse generators in the algebraic formalism ⋮ Time-dependent Schrödinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations ⋮ Time-dependent Schrödinger equations having isomorphic symmetry algebras. II. Symmetry algebras, coherent and squeezed states ⋮ The Schrödinger system \(H=-\frac 1 2 e^{\Upsilon(t-t_0)}\partial_{xx}+\frac 1 2\omega^2 e^{-\Upsilon(t-t_0)}x^2\) ⋮ Coherent and squeezed vibrations for discrete variable harmonic oscillators ⋮ Resonance Broadening Theory of Farley-Buneman Turbulence in the Auroral E-Region

Cites Work

• Coherent states for arbitrary Lie group
• Symmetry of time-dependent Schrödinger equations. I. A classification of time-dependent potentials by their maximal kinematical algebras
• Symmetry of time-dependent Schrödinger equations. II. Exact solutions for the equation {∂x x+2i∂t−2g2(t)x2−2g1(t)x −2g0(t)}Ψ(x, t) = 0
• Squeezed states for general systems

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