数算子的退化整幂的正规序及其应用
Normal ordering of degenerate integral powers of number operator and its applications
摘要：
借助于第二类Stirling数，给出了数算符的整数幂的玻色子算符的正规序。作为一个“退化版本”的这一点，我们认为正常的有序退化的整数幂的玻色子运营商的数量，这是由第二类退化斯特林数的手段表示。作为这个正常的顺序的应用程序，我们推导出两个方程定义的退化斯特林数的第二类和Dobinski式的退化贝尔多项式公式。
英文摘要：
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.
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