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

Mario Cezar Bertin, J. R. B. Peleteiro, B. M. Pimentel, José A. Ramı́rez

Type: Preprint

Publication Date: 2020-09-17

Citations: 0

DOI: https://doi.org/10.22541/au.160037760.05109497

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: Dynamical Invariants; Quantum Damped Oscillator; Time-Dependent Systems; Dissipative Systems.

Locations

arXiv (Cornell University) - View - PDF
Authorea (Authorea) - View - PDF

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