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评A.时变向量场的广义亥姆霍兹定理。M. Davis,[Am.物理学杂志74,72-76(2006)]"

Comment on 'A generalized Helmholtz theorem for time-varying vector fields by A. M. Davis, [Am. J. Phys. 74, 72-76 (2006)]'

Jose A. Heras

摘要:

在最近的一篇论文中,戴维斯用洛仑兹规范滞后势对时变向量场提出了广义亥姆霍兹定理。这篇评论的目的是指出Davis对该定理的推广是几年前由McQuintel和Jefimenko以及最近由本作者所阐述的Helmholtz定理的一种推广,并表明Davis关于含时向量场的表达式对于Lorenz规范以外的规范中的势也是有效的

英文摘要:

In a recent paper Davis formulated a generalized Helmholtz theorem for a time-varying vector field in terms of the Lorenz gauge retarded potentials. The purposes of this comment are to point out that Davis's generalization of the theorem is a version of the extension of the Helmholtz theorem formulated some years ago by McQuistan and also by Jefimenko and more recently by the present author and to show that Davis's expression for the time-dependent vector field is also valid for potentials in gauges other than the Lorenz gaug

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