Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Science Advisor
    Homework Helper

    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


    User Avatar

    Staff: Mentor

    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~
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook