无限深势阱中单粒子的泡利处理

PAULI′S TREATMENT ON SINGLE PARTICLE IN AN INFINITE SQUARE WELL POTENTIAL

Ｐａｕｌｉ在处理无限深势阱中的单粒子时，要求粒子具有经典力学的能量动量关系Ｅ＝ｐ２／２ｍ，而且混用了定波和定态的概念，这说明Ｐａｕｌｉ更多地用到的是半经典量子论而不是量子力学，他所得到的动量分布函数是半经典理论的结果，只有在大量子数极限下才与量子力学的结果趋于一致．

While treating a single particle in an infinite square well potential,pauli imposed that the particleinthewellpossesstheclassicalmechanicalrelationbetweenenergyandmomentumE=p 2/2m,and mixed the concepts of a stationary state and a standing wave,etc.These facts show what the theory which he used is semiclassical theroy rather than quantum mechanics.His result about the momentum distribution function belongs to semiclassical theory,only in the large quantum number case goes over to that given by quantum mechanics.