Recent content by jdbbou

I'm following a derivation in my lecture notes of total average particle number in an ideal classical gas (statistical physics approach). I follow it to the line (though the specific terms don't matter): \left<N\right> = e^{\mu/\tau} \frac{\pi}{2} \int_0^\infty \left(n \,dn \,e^{- \frac{\hbar^2...

For anyone with the same issue in future: http://physics.stackexchange.com/questions/268960/is-my-proof-of-proca-lagrangian-local-gauge-invariance-correct#268960

This is what I've tried so far. Any suggestions? Was my justification for step (1) correct?

Do I substitute A_\mu + \partial_\mu \lambda everywhere A_\mu appears, then expand out? Do I substitute a contravariant form of the substitution for A^\mu as well? (If so, do I use a metric to convert it first?) I’m new to Ricci calculus; an explanation as to the meaning of raised and lowered...