On a hidden symmetry of quantum harmonic oscillators

DOI10.1080/10236198.2012.658384zbMath1266.81073arXiv1112.2586OpenAlexW1982876425MaRDI QIDQ4916368

Raquel M. Lopez, Sergei K. Suslov, José M. Vega-Guzmán

Publication date: 22 April 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2586

zbMATH Keywords

time-dependent Schrödinger equationSchrödinger groupHeisenberg uncertainty principlegeneralized harmonic oscillatorsdynamic invariantscoherent and squeezed states

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Coherent states (81R30) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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