论文标题

一维时间依赖性,阻尼和驱动的谐波振荡器的动力不变和量化

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

论文作者

Bertin, M. C., Peleteiro, J. R. B., Pimentel, B. M., Ramirez, J. A.

论文摘要

在本文中,提出了一种具有时间依赖性频率,时间依赖性驱动力和时间依赖性耗散项的一维谐波振荡器的量化程序。该方法基于作者先前提出的动态不变性的构建,其中对振荡器的线性不变剂具有根本重要性。

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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