Non-stochasticity of time-dependent quadratic Hamiltonians and the spectra of canonical transformations

DOI10.1088/0305-4470/19/4/013zbMath0601.70013OpenAlexW1980099167MaRDI QIDQ3736934

Michael Loss, George A. Hagedorn, Joseph Slawny

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1088/0305-4470/19/4/013

zbMATH Keywords

quadratic polynomialFloquet operatorclassical Hamiltoniancorresponding quantum mechanical motionquadratic Hamiltonian with random time-dependencestrictly pure point spectrumstrictly transient absolutely continuous spectrum

Mathematics Subject Classification ID

Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Hamilton's principle (70H25)

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