组合数学和玻色子正规序:一个温和的介绍
Combinatorics and Boson normal ordering: A gentle introduction
摘要:
我们通过将其应用于玻色子数算子的幂和指数的正常排序来讨论算子排序问题的一般组合框架。这个问题的解决方案是根据贝尔和斯特林数枚举分区的一个集合。这个框架揭示了排序问题和组合对象之间的一些内在联系,并显示了威克定理的分析背景。该方法可以从本文给出的简单示例直接推广到广泛的一类算子。
英文摘要:
We discuss a general combinatorial framework for operator ordering problems by applying it to the normal ordering of the powers and exponential of the boson number operator. The solution of the problem is given in terms of Bell and Stirling numbers enumerating partitions of a set. This framework reveals several inherent relations between ordering problems and combinatorial objects, and displays the analytical background to Wick's theorem. The methodology can be straightforwardly generalized from the simple example given herein to a wide class of operators.
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。