大学物理 ›› 2015, Vol. 34 ›› Issue (1): 9-9.
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任政学[1,2] 孙保元[1]
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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
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任政学[;] 孙保元[]. 算符二次量子化形式的一种导出方式[J]. 大学物理, 2015, 34(1): 9-9.
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