大学物理 ›› 2014, Vol. 33 ›› Issue (1): 31-31.

• 著者文摘 • 上一篇    下一篇

基于算符正规乘积的若干厄米多项式关系式证明

任刚 马建国 杜建明 余海军 张秀兰   

  1. 淮南师范学院物理与电子信息系,安徽淮南232038
  • 出版日期:2014-01-25 发布日期:2014-01-20

Proving some relations of Hermite polynomials via the normal product of quantum operators

  • Online:2014-01-25 Published:2014-01-20

摘要: 主要利用量子力学的方法证明了厄米多项式的递推关系.另外,根据厄米多项式的表达式,得出了两个与厄米多项式有关的积分公式.

关键词: 厄米多项式, 算符正规排序, 量子表象

Abstract: The recursion relations of Hermite polynomial are proved with the help of the method of quantum mechanics. Furthermore, two integral formulas related to the Hermite polynomial are obtained according to the expression of the Hermite polynomial.

Key words: Hermite polynomial, normal ordering of operators, quantum representation

中图分类号: 

  • O413.1