有限量子系统的一种新的代数结构和修正的Bessel函数
A New Algebraic Structure of Finite Quantum Systems and the Modified Bessel Functions
摘要：
本文给出了有限量子系统的一种新的代数结构（我们称之为超双曲系统），它是二能级系统中通常代数结构的推广。它适合于所谓的广义泡利矩阵，因此它们在理论中起着重要作用。指出了与整数阶修正贝塞尔函数的某些深层联系。有限量子系统通过巧妙的限制，成为Ohnuki和Kitakado发展的循环上的量子力学。
英文摘要：
In this paper we present a new algebraic structure (a super hyperbolic system in our terminology) for finite quantum systems, which is a generalization of the usual one in the two-level system. It fits into the so-called generalized Pauli matrices, so they play an important role in the theory. Some deep relation to the modified Bessel functions of integer order is pointed out. By taking a skillful limit finite quantum systems become quantum mechanics on the circle developed by Ohnuki and Kitakado.
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。
