Force operator in one-dimentional infinite square-well potential
Received date: 2017-11-15
Revised date: 2018-06-19
Online published: 2019-02-27
is an exercise that is frequently met in quantum mechanics textbooks. Recently,it also attracts interesting in the
study of quantum nonequilibrium processes. In this paper,a force operator is proposed and is utilized to re-obtain
previous result. Its correctness is as well proved in the case of one wall moving at constant velocity. The advantage
of the operator is that a process of taking limit does not need,where one has to calculate the mean force for a finite
square-well potential first and to take the potential-depth be infinite later. The computations show that,in quantum
regime using a time-dependent canonical transformation to define a force operator is neither correct nor essential.
LIU Fei, ZHAO Lu, HU Lei . Force operator in one-dimentional infinite square-well potential[J]. College Physics, 2019 , 38(1) : 1 . DOI: 10.16854 /j.cnki.1000-0712.170621
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