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Alpha in the schrodinger's equation for the harmonic oscillator

  1. Dec 4, 2005 #1
    why for that equation does alpha= 2E/(hf)?
  2. jcsd
  3. Dec 4, 2005 #2


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    Science Advisor
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    Since you haven't mentioned what alpha is supposed to represent, how are we to supposed to answer that question? I can't read minds you know. Alpha is not an agreed upon universal variable.
    To me it sounds like a definition. There to simplify notation.
    It is equal to the ration of the energy to the ground state energy.
    Last edited: Dec 4, 2005
  4. Dec 4, 2005 #3
    sorry for being unclear~
    psi`` + (2m/H^2)(E-0.5kx^2)psi=0
    my textbook says that to simply that equation, it makes the subsitution
    alpha= 2E/(hf) so that
    but i think that it should make the subsitution y= (2m/H^2)E
  5. Dec 4, 2005 #4


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    So go ahead and try it and see if it helps better than the other substitution! It's certainly possible that it might work. There's usually more than one way to skin a cat (or solve an equation), after all. :smile:
  6. Dec 5, 2005 #5
    you're right~ :)
    just curious why the book made that substituition, though~
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