1. Dec 22, 2008

### KFC

If there were magnetic monopole, the Maxwell equations should be modified as

$$\nabla\cdot\vec{B} = \mu_0\rho_m$$

$$\nabla\times\vec{E} = - \frac{\partial \vec{B}}{\partial t} - \mu\vec{J}_m$$

and plus the other two.

I wonder how to prove these two modified equations are of correct form? Someone told me they should be of those form because of symmetry. I would like to prove that mathematically but have no way to start ...

2. Jan 11, 2009

### kof9595995

Em,I think it's not possible by just derive theoretically and do not use the idea of symmetry,because Maxwell equations themselves are mathematical summaries of experimental laws,right?

3. Jan 11, 2009

### clem

The divB equation is the definition of "magnetic charge".
The curl E follows from the continuity equation for magnetic charge.

4. Jan 11, 2009

### Defennder

"magnetic charge density", to be exact.