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On a Space-Time Representation of Nonrelativistic Wave Mechanics

 

作者: H. L. Armstrong,  

 

期刊: American Journal of Physics  (AIP Available online 1957)
卷期: Volume 25, issue 3  

页码: 195-199

 

ISSN:0002-9505

 

年代: 1957

 

DOI:10.1119/1.1934392

 

出版商: American Association of Physics Teachers

 

数据来源: AIP

 

摘要:

A space-time representation is developed for nonrelativistic wave mechanics as was done for classical mechanics, by adding to the system a rotating body to serve as a clock, and applying the time-independent forms of the equations of motion. The usual Schrödinger equation is obtained in this way, however, only in the limit as the energy of the clock becomes very large. The reason for this restriction is found in an appendix, by comparison with the classical equations. Other appendices deal with certain aspects of the Hamiltonian representation of the problem.

 

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