大学物理 ›› 2011, Vol. 30 ›› Issue (12): 1-1.

• 著者文摘 •    下一篇

从二维正态分布密度函数的角度研究量子力学基本表象

袁洪春[1] 王帅[2] 范洪义[2]   

  1. [1]常州工学院光电工程学院,江苏常州213002 [2]上海交通大学物理系,上海200240
  • 出版日期:2011-12-25 发布日期:2011-12-20

quantum mechanical representations via the two-dimensional normal distribution function in statistics

  • Online:2011-12-25 Published:2011-12-20

摘要: 利用二维正态分布密度函数和有序算符内的积分技术,简捷地得到了坐标本征态、动量本征态、坐标-动量中介表象和相干态在Fock表象中的表达式.

关键词: 正态分布函数, IWOP技术, 量子力学表象, 完备性

Abstract: Based on the two-dimensional normal distributions in statistics and the technique of integration within an ordered product of operators (IWOP) , the explicit forms in the Fock space of some quantum representations are simply obtained such as coordinate representation, momentum representation, coordinate-momentum intermediate representation, and coherent representation. In addition, their corresponding completeness is also easily proved

Key words: normal distribution function, the IWOP technique, quantum mechanical representations, completeness

中图分类号: 

  • O413.1