Take the 2-minute tour ×
Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It's 100% free, no registration required.

I need to compute $\frac{d}{dt}\hat{\mathbf P} = \frac{d}{dt}(\hat{\mathbf p} - q\hat{\mathbf A})$ for the solutions of $$ (i\gamma^{\mu}\partial_{\mu} + q\gamma^{\mu}A_{\mu} - m)\Psi = 0. $$ May I use Hamiltonian formalism for that. I mean that I may rewrite the equation above in a form $$ i\partial_{t} \Psi = \hat{H}\Psi $$ (or I need also introduce $\hat{P}_{0} = \hat {p}_{0} - q\hat {A}_{0}$ and rewrite the equation in form $\hat {P}_{0}\Psi = \hat {H}\Psi$?) and get time derivation operation of average value of my operator of generalized momentum as average value of commutator $i[\hat{H}, \hat{\mathbf P}]$? Maybe also I need to include partial derivative of my operator, because $\hat{\mathbf A}$ depends on $t$. But I am not sure in all of these statements. Can you make it more clear for me?

share|improve this question
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.