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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