Time-dependent formulation of the linear unitary transformation and the time evolution of general time-dependent quadratic Hamiltonian systems

DOI10.1016/j.aop.2004.04.002zbMath1054.81017OpenAlexW2168569744MaRDI QIDQ1877783

Wensen Liu

Publication date: 19 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.aop.2004.04.002

zbMATH Keywords

time evolutionunitary transformation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Cites Work

• Two-photon algebra eigenstates. A unified approach to squeezing
• Evolution operators and wave functions in a time-dependent electric field
• Dynamical Noether invariants for time-dependent nonlinear systems
• The evolution operator technique in solving the Schrodinger equation, and its application to disentangling exponential operators and solving the problem of a mass-varying harmonic oscillator
• A Jordanian quantum two-photon/Schrödinger algebra
• Quantum motion in a Paul trap
• Information-theoretic and Wigner-function approaches to the nonclassical state dynamics for the variable-frequency harmonic oscillator
• Lie Algebraic Solution of Linear Differential Equations
• Exponential Operators and Parameter Differentiation in Quantum Physics

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