Quadratic time dependent Hamiltonians and separation of variables

DOI10.1016/j.aop.2017.04.002zbMath1364.81107OpenAlexW2606126241WikidataQ114209561 ScholiaQ114209561MaRDI QIDQ530230

A. Anzaldo-Meneses

Publication date: 9 June 2017

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

Full work available at URL: https://doi.org/10.1016/j.aop.2017.04.002

zbMATH Keywords

separation of variablesWei-Norman methodexplicit unitary transformationsLie group contractionstime dependent quadratic quantum Hamiltonians

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Hamilton-Jacobi equations in mechanics (70H20)

Related Items

Exact time-evolution of a generalized two-dimensional quantum parametric oscillator in the presence of time-variable magnetic and electric fields, Supercanonical coordinates for orthosymplectic evolution operators

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