狄拉克–约当表象变换理论——从矩阵力学到波动力学  

The Dirac-Jordan Transformation Theory—From Matrix Mechanics to Wave Mechanics

作　　者：黄永义[1] 左兆宇 

机构地区：[1]西安交通大学物理学院,陕西 西安

出　　处：《现代物理》2021年第2期15-20,共6页Modern Physics

摘　　要：以现代量子力学的符号重述了狄拉克–约当表象变换理论,从矩阵力学导出了波动力学的位置和动量算符,定态薛定谔方程,含时薛定谔方程和波函数玻恩规则。表象变换理论表明矩阵力学、波动力学分别是能量表象、坐标表象的量子力学,从而实现了矩阵力学和波动力学有机的统一。Using Dirac symbols, we recall Dirac-Jordan transformation, by which the co-ordinate operators, momentum operators, Schrödinger equation and wave function’s Born rule are derived from matrix mechanics. The transformation theory shows that matrix mechanics and wave mechanics are, respectively, the quantum mechanics of energy representation and co-ordinate representation. The transformation theory naturally unifies matrix mechanics and wave mechanics.

关 键 词：矩阵力学 波动力学 表象变换理论 

分 类 号：O41[理学—理论物理]