论文标题

Weyl-Heisenberg相干状态的量子动力学

Quantum dynamics in Weyl-Heisenberg coherent states

论文作者

Miroszewski, Artur

论文摘要

本文探讨了一种新的形式主义,用于描述量子力学中的运动。该构建基于具有不断发展的基准载体的广义相干状态。 Weyl-Heisenberg相干状态用于将量子系统分为“古典”和“量子”自由度。发现分解等效于从半古典框架感知的量子力学。拆分允许引入古典状态的新定义,并且是近似量子动力学分析的方便起点。元稳定状态的一个示例是作为引入概念的实用说明。

The article explores a new formalism for describing motion in quantum mechanics. The construction is based on generalized coherent states with evolving fiducial vector. Weyl-Heisenberg coherent states are utilised to split quantum systems into `classical' and `quantum' degrees of freedom. The decomposition is found to be equivalent to quantum mechanics perceived from a semi-classical frame. The split allows for introduction of a new definition of classical state and is a convenient starting point for approximate analysis of quantum dynamics. An example of a meta-stable state is given as a practical illustration of the introduced concepts.

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