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Derivation of Conserved Quantities from Symmetries of the Lagrangian in Field Theory

 

作者: Timothy H. Boyer,  

 

期刊: American Journal of Physics  (AIP Available online 1966)
卷期: Volume 34, issue 6  

页码: 475-478

 

ISSN:0002-9505

 

年代: 1966

 

DOI:10.1119/1.1973071

 

出版商: American Association of Physics Teachers

 

数据来源: AIP

 

摘要:

A derivation of the conserved quantities arising from symmetries of the Lagrangian density under continuous transformations is reviewed with an eye to brevity and clarity. The derivation is sufficiently general to include virtually all cases of interest in field theory. Also covered is a separate and very short derivation which is valid only in the special case, frequent in quantum field theory, of internal symmetries where the transformations are independent of space-time. Some sources of confusion and error in the published accounts of the problem are noted.

 

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