一维三粒子的对称性与自然量子结构
Symmetry and Natural Quantum Structures for Three-Particles in One-Dimension
摘要：
对称性如何诱导自然和有用的量子结构？这个问题是在三个相互作用的粒子在一维模型的背景下进行研究。这样的模型显示了动力系统的广泛的可能性，从可积性到硬混沌。这篇文章表明，相关的，但不同的概念，可积性，可分性和可解性确定有意义的集体观测哈密顿具有足够的对称性。反过来，这些可观的诱导希尔伯特空间上的张量积结构，这是特别有用的存储和处理量子信息，并提供指导量子少体物理的解释和现象学。
英文摘要：
How do symmetries induce natural and useful quantum structures? This question is investigated in the context of models of three interacting particles in one-dimension. Such models display a wide spectrum of possibilities for dynamical systems, from integrability to hard chaos. This article demonstrates that the related but distinct notions of integrability, separability, and solvability identify meaningful collective observables for Hamiltonians with sufficient symmetry. In turn, these observables induce tensor product structures on the Hilbert space that are especially useful for storing and processing quantum information and provide guidance to interpretation and phenomenology of quantum few-body physics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
