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Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic Oscillator
Brazilian Journal of Physics ( IF 1.5 ) Pub Date : 2020-06-30 , DOI: 10.1007/s13538-020-00765-8
M. C. Bertin , J. R. B. Peleteiro , B. M. Pimentel , J. A. Ramirez

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.

中文翻译:

一维瞬态、阻尼和驱动谐波振荡器的动态不变量和量化

在本文中,提出了具有时间相关频率、时间相关驱动力和时间相关耗散项的一维谐振子的量化程序。该方法基于作者先前提出的动态不变量的构造,其中对振荡器的线性不变量具有重要意义。
更新日期:2020-06-30
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