有限能级系统的量子可积性
Quantum integrability in systems with finite number of levels
摘要：
本文从交换矩阵出发，考虑有限个能级系统的量子可积性的定义问题，并构造了具有给定交换伙伴数的这种矩阵模型的新的一般类.我们认为，如果矩阵依赖于一个（实）参数，可以定义量子可积性从这个功能单独，导致具体的结果，如精确的可解性，泊松能级统计和水平交叉。
英文摘要：
We consider the problem of defining quantum integrability in systems with finite number of energy levels starting from commuting matrices and construct new general classes of such matrix models with a given number of commuting partners. We argue that if the matrices depend on a (real) parameter, one can define quantum integrability from this feature alone, leading to specific results such as exact solvability, Poissonian energy level statistics and to level crossings.
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。
