Related papers: Dynamical invariants and quantization of the one-dimensional time-dependent, damped, and driven harmonic oscillator

Dynamical invariants and quantization of the one-dimensional time-dependent, damped, and driven harmonic oscillator

URL: http://arxiv.org/abs/2006.11637v1
Date: Sat, 20 Jun 2020 19:20:07 GMT
Title: Dynamical invariants and quantization of the one-dimensional time-dependent, damped, and driven harmonic oscillator
Authors: M. C. Bertin, J. R. B. Peleteiro, B. M. Pimentel, J. A. Ramirez
Abstract summary: It is proposed a quantization procedure for the one-dimensional harmonic oscillator with time-dependent frequency, time-dependent driven force, and time-dependent dissipative term.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: In this paper, it is proposed a quantization procedure for the one-dimensional harmonic oscillator with time-dependent frequency, time-dependent driven force, and time-dependent dissipative term. The method is based on the construction of dynamical invariants previously proposed by the authors, in which fundamental importance is given to the linear invariants of the oscillator.

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