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How do you mathematically describe wave function overlap?

  1. Jan 29, 2015 #1
    Is there a way to mathematically describe the space where wave functions overlap like with how wave functions describe the space a particle could exist. Then if that is possible can you determine the time period at which that overlap will occur.
     
  2. jcsd
  3. Jan 29, 2015 #2

    mfb

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    Wave functions from what?
    There is nothing special about overlapping wavefunctions.
    Sure, just follow the equations of quantum mechanics.
     
  4. Jan 29, 2015 #3
    Hydrogen orbital wave functions.

    also doesn't the overlap of wave functions represent the space at which the particle is in a state of randomness shifting between the two states until we look at the system and the the overlap collapse into one of the wave functions again
     
  5. Jan 29, 2015 #4

    mfb

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    Normal hydrogen has just one electron. Normally, the electron will be in the ground state, and the other states are empty and do not matter.
    No.
     
  6. Jan 29, 2015 #5
    Okay than what does represent that space where a particle is in randomness between two states, because the wave functions only describes the space at which one particle could exist
     
  7. Jan 29, 2015 #6

    bhobba

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    As Mfb said - no.

    But I suspect you have some misconceptions about what a wavefunction is. The following may be helpful in sorting those out:
    http://www.scottaaronson.com/democritus/lec9.html

    Thanks
    Bill
     
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