Bound states and Current density (1 Viewer)

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The current density vanishes for a bound state.
I would like to know the proof and its physical significance.

I appreciate the responses in advance!
 

clem

Science Advisor
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The current vanishes for real wave functions, and bound wave functions are real.
The bound wave function is a standing wave.
It is like the difference between traveling waves and standing waves on a string.
 

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