Probability current density

  • #1
In order to check if a quantum particle crosses a barrier or not, isn't calculating ##|\psi(x)|^2## enough in that particular region ? Why do we need to calculate probability current density for that matter?
 

Answers and Replies

  • #2
A. Neumaier
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It is not needed for this, and it is usually never computed. It is needed in the proof that probability is conserved unless it flows into or out of a boundary.
 

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