正交曲线坐标系中的角动量算符  

Angular Momentum Operators in Orthogonal Curvilinear Coordinate Systems

作　　者：成泰民[1] 曹连刚[1] 葛崇员[1] 孙树生[1] 

机构地区：[1]沈阳化工大学数理系,辽宁沈阳110142

出　　处：《沈阳化工大学学报》2010年第4期365-369,共5页Journal of Shenyang University of Chemical Technology

基　　金：国家自然科学基金资助项目(10647138);辽宁省教育厅科学研究资助项目(20060667)

摘　　要：由不同正交曲线坐标系的单位基矢之间的变换矩阵,推导出角动量算符之间的普遍变换规律.并且在正交曲线坐标系中给出Hamilton算符及角动量算符的表示.讨论球坐标系、柱坐标系、直角坐标系之间的单位基矢之间的变换矩阵及角动量算符之间的变换规律.并讨论在球坐标系、柱坐标系、直角坐标系中L^2算符的处理.Using the transformation matrix between the unit basis vectors in deferent orthogonal curvilinear coordinate systems,we deduce the general form of the transformation between the angular momentum operators in these coordinate systems.We give the representations of Hamilton operator  and angular momentum operators in the orthogonal curvilinear coordinate system.We discuss the transformation matrix of unit basis vectors among the spherical coordinate system,cylindrical coordinates system and rectangular coordinates system,and the transformation between the angular momentum operators.Furthermore,we discuss the treatment of 2operator in different coordinate systems.

关 键 词：正交曲线坐标系 幺正算符 角动量算符 Hamilton算符▽ 

分 类 号：O413.1[理学—理论物理]