Dynamical invariants and quantization of the one-dimensional time-dependent, damped, and driven harmonic oscillator
Quantum Physics
2020-07-15 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2006.11637,
title = {Dynamical invariants and quantization of the one-dimensional time-dependent, damped, and driven harmonic oscillator},
author = {M. C. Bertin and J. R. B. Peleteiro and B. M. Pimentel and J. A. Ramirez},
journal= {arXiv preprint arXiv:2006.11637},
year = {2020}
}
Comments
To be published in the Brazilian Journal of Physics