大学物理 ›› 2012, Vol. 31 ›› Issue (4): 1-1.

• 著者文摘 •    下一篇

经典函数与量子算符的Weyl对应

徐世民 张运海 徐兴磊   

  1. 菏泽学院物理系,山东菏泽274015
  • 出版日期:2012-04-25 发布日期:2012-04-20

Weyl correspondence of classical functions and quantum operators

  • Online:2012-04-25 Published:2012-04-20

摘要: 提出了通过定义一种算符编序来处理含有不对易因子的积分的思想,研究了经典函数与量子算符的Weyl对应问题,得到了计算简捷的Weyl对应规则之数学显式,并给出了一种证明量子力学表象完备性关系的新方法.以实例支持了Weyl对应规则的正确性,说明了Weyl对应规则理论是自洽的.

关键词: c数, q数, Weyl对应, 正规乘积:Weyl编序

Abstract: A new idea how to solve the integration containing incommutable operators is proposed, the problem of the correspondence between classical functions and quantum operators is studied, the explicit formulae of Weyl correspondence is obtained. Furthermore, a new method of examining the completeness relation of a quantum representation is given.

Key words: c-number, q-nuruber, Weyl correspondence, normal ordering, Weyl ordering

中图分类号: 

  • O413.1