I actually have a homework problem on this; but I don't want help specifically with that. What I'd like to know is, what does the probability current represent?(adsbygoogle = window.adsbygoogle || []).push({});

Does it represent how [tex]\left\langle x\right\rangle[/tex] changes? And if so, is it how it changes over time, or over a change in the range used to evaluate [tex]\left\langle x\right\rangle[/tex]. Or does it have to do with [tex]\left\langle p\right\rangle[/tex] instead?

To me it seems like it would be how the value of [tex]\sigma_{x}[/tex] and / or [tex]\sigma_{p}[/tex] change based off of the size of the well, or the range which the integral is being evaluated over to find [tex]\left\langle x\right\rangle[/tex] and [tex]\left\langle p\right\rangle[/tex] (and [tex]\left\langle x^{2}\right\rangle[/tex] and [tex]\left\langle p^{2}\right\rangle[/tex]).

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# Understanding the Probability Current J

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