Recent content by ConjugatedClanger

Actually I take it back, you did answer my question -- you just didn't spoon feed me (quite right too). It suddenly clicked when I thought about the how we arrive at the conserved current for a for complex scalar field. It's exactly the same thing for the Schroedinger Lagrangian. So there is a...

Thank you very much for the detailed reply. Indeed, calculating ##\partial_{t} \rho## is by far the most intuitive route to a continuity equation for me -- it just makes physical sense. The problem for me is that many authours (such as Binney) simply state $$i(\psi^{*} \partial_{t} \psi + \psi...

I couldn't think of a physics/mathematical motivation for ##(1)##, hence I am wondering if others have a better insight. I agree, I think ##(2)## is the far more physically intuitive approach. If ##(1)##, as you say, is a story telling/pedagogical approach, I don't think its a good one. I think...

Thanks! I'm glad you think its a good one!

I was reading a section of The Physics off Quantum Mechanics by James Binney and David Skinner. On page 45, when discussing the probability current (in the wave mechanics formalism) in calculating it they state: I.e.$$ i \hbar \left( \psi^{*} \frac{\partial}{\partial t} \psi + \psi...

Hello everyone, From what I've seen this seems to be a really nice community and I'm looking forward to discussing physics with everyone! Cheers!