1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Two dimensional asymmetric harmonic oscillator

  1. Mar 12, 2012 #1
    Let's say I have a 2D harmonic oscillator:

    1. The problem statement, all variables and given/known data
    The potential is of course defined by: V = 1/2m(Omegax)x^2 + 1/2m(Omegay)y^2

    2. Relevant equations

    Generally when doing a harmonic oscillator we find that in two dimensions the energy is just:

    (Nx+Ny+1)hbarOmega is the energy.

    How does this change when the Omegax and Omegay are not equal?


    3. The attempt at a solution

    Do we simply get the energy as...

    E = (Nx+1/2)hbarOmegax + (Ny+1/2)hhbarOmegay ?

    That would seem logical, but would like the clarification.
     
  2. jcsd
  3. Mar 12, 2012 #2

    fzero

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Your intuition is correct. You can work it out by considering a separable solution of the form [itex]\psi(x,y)= X(x)Y(y)[/itex].
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Two dimensional asymmetric harmonic oscillator
Loading...