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Complex Numbers and the Lagrangian

 

作者: Samuel Gelfman,  

 

期刊: American Journal of Physics  （AIP Available online 1972）
卷期: Volume 40, issue 11  

页码: 1640-1642

 

ISSN:0002-9505

 

年代: 1972

 

DOI:10.1119/1.1987002

 

出版商: American Association of Physics Teachers

 

数据来源: AIP

 

摘要:

A method to determine the Lagrangian with the use of complex numbers is described. The kinetic energy is found from the magnitude of the complex velocity, and the potential energy is found from the real part of the complex displacement. Finally this method may be used to determine generalized forces with Lagrange's method of undetermined multipliers.

 

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