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Symbolic proof of the Helmholtz theorem

 

作者: Nivaldo A. Lemos,  

 

期刊: American Journal of Physics  （AIP Available online 1987）
卷期: Volume 55, issue 1  

页码: 57-59

 

ISSN:0002-9505

 

年代: 1987

 

DOI:10.1119/1.14970

 

出版商: American Association of Physics Teachers

 

关键词: VECTORS;ELECTROMAGNETISM;HELMHOLTZ THEOREM

 

数据来源: AIP

 

摘要:

Symbolic proof of the Helmholtz theorem on the unique determination of a vector field from its divergence and curl is given which requires only an elementary knowledge of electrostatics and vector analysis. The conditions for uniqueness emerge as natural consequences of the symbolic method employed.

 

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