- #1
Albereo
- 16
- 0
This isn't actually coursework, I'm doing some studying on my own. These are my very preliminary attempts to wrangle with tensor notation, so please be patient with me. I'm trying to get the components of the electromagnetic field tensor from
[itex]\partial^{\mu}A^{\nu}-\partial^{\nu}A^{\mu}[/itex]
But I'm having a problem with my signs. For example, when I do
[itex]F^{10}=\partial^{1}A^{0}-\partial^{0}A^{1}=-\frac{\partial A_{x}}{\partial t}+\frac{\partial \phi}{\partial x}[/itex]
I think the first term should be positive, so I get [itex]-E_{x}[/itex] as that entry. What am doing wrong?
[itex]\partial^{\mu}A^{\nu}-\partial^{\nu}A^{\mu}[/itex]
But I'm having a problem with my signs. For example, when I do
[itex]F^{10}=\partial^{1}A^{0}-\partial^{0}A^{1}=-\frac{\partial A_{x}}{\partial t}+\frac{\partial \phi}{\partial x}[/itex]
I think the first term should be positive, so I get [itex]-E_{x}[/itex] as that entry. What am doing wrong?