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Homework Help: A 2D Oscillator

  1. Mar 5, 2008 #1
    I would be eternally grateful if I could get some help. The question is: Write down the Haniltonian operator for the 2D harmonic oscillator with the potential V(x,y)=1/2(x^2+y^2).

    By using teh separation of variables and theform of the eigenvalue for the 1D harmoinc oscillator, find the energy eigenvalues for the 2D oscillator.
  2. jcsd
  3. Mar 5, 2008 #2


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    show your attempt to solution!

    What is your ansatz for eigenfunction with separation of variables?
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