单项原理的Sheffer型多项式表示和玻色正规序
Representations of Monomiality Principle with Sheffer-type Polynomials and Boson Normal Ordering
摘要：
利用作用在Sheffer型多项式空间中的梯算子构造了Heisenberg-Weyl代数[P，M]=1的显式表示.因此，我们建立了一个单一性原则和影演算之间的联系。我们使用某些运营商的身份，允许一个明确的评估特殊玻色子矩阵元素之间的相干态。这就产生了玻色子正常有序的运营商的功能线性无论是创建或湮灭运营商的一般示范。我们指出这些方法在其他领域的可能应用。
英文摘要：
We construct explicit representations of the Heisenberg-Weyl algebra [P,M]=1 in terms of ladder operators acting in the space of Sheffer-type polynomials. Thus we establish a link between the monomiality principle and the umbral calculus. We use certain operator identities which allow one to evaluate explicitly special boson matrix elements between the coherent states. This yields a general demonstration of boson normal ordering of operator functions linear in either creation or annihilation operators. We indicate possible applications of these methods in other fields.
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。
