论文标题

$ n $ body量子系统中的布置和化学复杂性

Arrangement and chemical complexity in an $N$-body quantum system

论文作者

Gao, Bo

论文摘要

我们介绍和讨论\ textit {bengement}的概念,传统上是在化学反应和几乎没有身体重排碰撞的背景下发现的,在$ n $ body-body量子系统的一般背景下。我们表明,粒子吸引和绑定的能力是$ n $ body量子系统复杂性的关键来源,而\ textit {bengement}是对这种复杂性的描述所必需的新兴概念。对于由某些或全部可以吸引和绑定的粒子制成的$ n $体系统,排列的概念不仅对于其量子状态和过程的全面表征是必需的,而且还为理解和描述其能量谱的结构提供了基础。我们还讨论并制定了$ n $ body系统中的多颗粒可分离性,这是$ n $ body理论中安排概念的基础的数学基础。

We introduce and discuss the concept of \textit{arrangement}, traditionally found in the context of chemical reactions and few-body rearrangement collisions, in the general context of an $N$-body quantum system. We show that the ability for particles to attract and bind is a key source of complexity of an $N$-body quantum system, and \textit{arrangement} is an emergent concept necessitated by the description of this complexity. For an $N$-body system made of particles of which some or all can attract and bind, the concept of arrangement is not only necessary for a full characterization of its quantum states and processes, but it also provides a basis for the understanding and the description of the structure of its energy spectrum. We also discuss and formulate multiparticle separability in an $N$-body system, the mathematical foundation that underlies the arrangement concept in an $N$-body theory.

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