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Bound states and Current density

  1. Mar 18, 2009 #1
    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!
  2. jcsd
  3. Mar 18, 2009 #2


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    Science Advisor

    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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