- #1

Lodeg

- 12

- 0

Specifically, could a relation in the form A x F(r,t) be a gauge , where F is an arbitrary vector field?

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- Thread starter Lodeg
- Start date

- #1

Lodeg

- 12

- 0

Specifically, could a relation in the form A x F(r,t) be a gauge , where F is an arbitrary vector field?

- #2

Lodeg

- 12

- 0

Specifically, could a relation in the form:

- #3

- 22,470

- 13,392

$$\frac{1}{c} \partial_t \Phi + \vec{\nabla} \cdot \vec{A}=0 \qquad \text{(Lorenz gauge)},$$

$$\vec{\nabla} \cdot \vec{A}=0 \qquad \text{(Coulomb gauge)}.$$

- #4

Lodeg

- 12

- 0

In that case, would a condition like ∫∫ A x F(r,t) dS = 0 , be acceptable as a guage?

- #5

Lodeg

- 12

- 0

- #6

- 22,470

- 13,392

- #7

Lodeg

- 12

- 0

Are there any criteria to judge the validity of such a condition?

Are there any reference that mention different gauge conditions other than Coulomb and Lorenz conditions?

- #8

- 22,470

- 13,392

https://en.wikipedia.org/wiki/Gauge_fixing

- #9

Lodeg

- 12

- 0

Thank you very much

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