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- W3100279464 abstract "In this paper we study a two-dimensional [2D] rotationally symmetric harmonic oscillator with time-dependent frictional force. At the classical level, we solve the equations of motion for a particular case of the time-dependent coefficient of friction. At the quantum level, we use the Lewis-Riesenfeld procedure of invariants to construct exact solutions for the corresponding time-dependent Schr{o}dinger equations. The eigenfunctions obtained are in terms of the generalized Laguerre polynomials. By mean of the solutions we verify a generalization version of the Heisenberg's uncertainty relation and derive the generators of the $su(1,1)$ Lie algebra. Based on these generators, we construct the coherent states $grave{textrm{a}}$ la Barut-Girardello and $grave{textrm{a}}$ la Perelomov and respectively study their properties." @default.
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- W3100279464 date "2018-11-01" @default.
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- W3100279464 title "Lewis-Riesenfeld quantization and <i>SU</i>(1, 1) coherent states for 2D damped harmonic oscillator" @default.
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- W3100279464 doi "https://doi.org/10.1063/1.5045621" @default.
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