›› 2015, Vol. 34 ›› Issue (1): 9-9.

• 著者文摘 • 上一篇    下一篇

算符二次量子化形式的一种导出方式

任政学[1,2] 孙保元[1]   

  1. [1]兰州大学核科学与技术学院,甘肃兰州730000 [2]北京大学物理学院,北京100871
  • 出版日期:2015-01-25 发布日期:2015-01-20

One method to derive the form of general operators in occupation particle number representation

  • Online:2015-01-25 Published:2015-01-20

摘要: 首先通过单体算符在粒子数表象下的形式得到单粒子跃迁算符(定义为粒子产生湮没算符的乘积,即a+iaj)的具体展开式,同时给出它与产生湮没算符的对易关系,然后以此为基础,在不区分全同粒子系统的统计学性质的情况下,简洁地得到二体算符和任意n体算符的二次量子化形式.

关键词: 二次量子化, 粒子数表象, 力学量算符, 跃迁算符

Abstract: The expansion of single- particle transition operator( defined as the product of creation and annihilation operator,namely a+iajin single- particle state is obtained through the form of single- operator in occupation particle number representation,and the commutation relations for transition operator and creation( annihilation) operator are also given,then based on these conclusions,the form of general two- and n- particle operators in occupation particle number representation can be derived succinctly without distinguishing the statistical property of identical particle system.

Key words: second quantization, occupation particle number representation, general operator, transition operator

中图分类号: 

  • O413.1