一维无限深方势阱的力算符
收稿日期: 2017-11-15
修回日期: 2018-06-19
网络出版日期: 2019-02-27
基金资助
北京航空航天大学研究生教育与发展研究专项基金;国家自然科学基金( 11174025;11575016;11204154;11574016);中国科学院
创新团队( 2060299) 资助
Force operator in one-dimentional infinite square-well potential
Received date: 2017-11-15
Revised date: 2018-06-19
Online published: 2019-02-27
柳飞, 赵路, 胡磊 . 一维无限深方势阱的力算符[J]. 大学物理, 2019 , 38(1) : 1 . DOI: 10.16854 /j.cnki.1000-0712.170621
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.
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