谐振子系统坐标算符矩阵元的简单计算方法  

Simplified method of calculating matrix elements of operators for harmonic oscillator

作　　者：鞠国兴[1] 

机构地区：[1]南京大学物理学院,南京210093

出　　处：《大学物理》2011年第7期5-8,18,共5页College Physics

摘　　要：详细讨论了在粒子数表象和相干态表象中如何简捷地计算谐振子系统坐标算符矩阵元的问题,给出了具体的计算过程并对文献中的相关处理方法和过程进行了评述.The problems of simply and directly computing the matrix elements of coordinate operator for the harmonic oscillator in both the number states and the coherent states representations are studied in detail,the explicit procedures are given and some issues related to the methods and procedures in the literatures are commented.

关 键 词：谐振子 矩阵元 粒子数态 相干态 产生和湮没算符 正规乘积 

分 类 号：O413.1[理学—理论物理]