The conservation of probability says:
$$\partial_t J^{0} + \partial{i}J^{i} = 0$$
Use the Schrodinger equation to obtain$$ J^{i} (\vec r)$$.
I have no idea where to start this kind of problem because the notation makes no sense to me. I would appreciate a hint or nudge in the correct direction.
Ah I see, so definitely a no on the trying to get into a program for the Spring? I'm getting that vibe from all these responses. I figured as much though, I might be able still get financial aid for that last semester so I might shoot for continuing my research/taking grad classes. Thank you.
In my current time frame for graduating I will be finishing in the Fall of next year. I'm scared because I know a lot of graduate programs don't take people starting in the Spring, so would it be better if I waited an extra semester, maybe take a graduate course or something?