论文标题
归化数字运算符及其应用的归化积分功能的正常排序
Normal ordering of degenerate integral powers of number operator and its applications
论文作者
论文摘要
借助第二类的斯特林数字来表示，数字运算符的积分功率的正常顺序由玻色子操作员表示。作为此的“退化版本”，我们考虑了玻色子运算符的数字运算符的简并积分功率的正常顺序，该数字运算符以第二类的退化stirl数字表示。作为这种正常排序的应用，我们得出了两个方程式定义第二类的退化stirling数字和一个dobinski样公式的退化钟形多项式的公式。
The normal ordering of an integral power of the number operator in terms of boson operators is expressed with the help of the Stirling numbers of the second kind. As a `degenerate version' of this, we consider the normal ordering of a degenerate integral power of the number operator in terms of boson operators, which is represented by means of the degenerate Stirling numbers of the second kind. As an application of this normal ordering, we derive two equations defining the degenerate Stirling numbers of the second kind and a Dobinski-like formula for the degenerate Bell polynomials.
