与Landau能级有关的Hermite多项式的母函数
A generating function for Hermite polynomials in connection with Euclidean Landau levels
摘要：
通过比较平面朗道能级上相同相干态的两个表达式，我们得到了厄米多项式的生成函数。第一个表达式是通过将正则相干态在数态的基础上进行级数展开而得到的。而第二个表达式是通过基于群表示理论的构造而建立的。
英文摘要：
We have formulated a generating function for the Hermite polynomials by comparing two expressions of the same coherent states attached to planar Landau levels. A first expression is obtained by generalizing the canonical coherent states when written as series expansion in the basis of number states. While the second expression is established by following a construction based on group representation theory.
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。
