准周期可逆扰动下线性量子谐振子的可还原性

IF 1.9 3区数学 Q1 MATHEMATICS

Qualitative Theory of Dynamical Systems Pub Date : 2024-06-26 DOI:10.1007/s12346-024-01067-z

Zhaowei Lou, Yingnan Sun, Youchao Wu

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引用次数: 0

摘要

在本文中，我们建立了一类线性耦合量子谐振子系统在时间准周期、非哈密尔顿、可逆扰动下的还原性。这基本上意味着，对于频率矢量的大多数值，这些系统都可以还原为具有与时间相关的恒定系数的自主可逆系统。我们的证明依赖于科尔莫哥罗夫-阿诺德-莫泽尔（KAM）理论在无限维可逆系统中的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Reducibility of the Linear Quantum Harmonic Oscillators Under Quasi-periodic Reversible Perturbation

In this paper, we establish the reducibility of a class of linear coupled quantum harmonic oscillator systems under time quasi-periodic, non-Hamiltonian, reversible perturbations. This essentially means that for most values of the frequency vector, these systems can be reduced to autonomous reversible systems with constant coefficients with respect to time. Our proof relies on an application of Kolmogorov–Arnold–Moser (KAM) theory for infinite dimensional reversible systems.

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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.