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Ehrenfest theorem and the classical trajectory of quantum motion

 

作者: J. Nag,   V. J. Menon,   S. N. Mukherjee,  

 

期刊: American Journal of Physics  （AIP Available online 1987）
卷期: Volume 55, issue 9  

页码: 802-804

 

ISSN:0002-9505

 

年代: 1987

 

DOI:10.1119/1.14992

 

出版商: American Association of Physics Teachers

 

关键词: QUANTUM MECHANICS;EXPECTATION VALUE;ONE−DIMENSIONAL CALCULATIONS;SQUARE−WELL POTENTIAL;POSITION OPERATORS;LINEAR MOMENTUM OPERATORS;WKB APPROXIMATION;EIGENFUNCTIONS;HAMILTONIANS

 

数据来源: AIP

 

摘要:

Ehrenfest theorem asserts that the quantum mechanical motion of a particle when considered in the expectation value sense should agree with classical mechanics in the correspondence limit. An explicit verification of this result is presented in the one‐dimensional case for motion in an infinite potential well (large quantum number limit) and a brief mention is made of the case of a smooth potential (ℏ→0 limit).

 

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