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Ground state energy of harmonic oscillator

  1. Apr 25, 2014 #1
    1. The problem statement, all variables and given/known data

    2N fermions of mass m are confined by the potential U(x)=1/2(k)(x2) (harmonic oscillator)
    What is the ground state energy of the system?

    2. Relevant equations

    V(x)=1/2m(ω2)(x2)


    3. The attempt at a solution
    I know the ground state energy of a simple harmonic oscillator is E= 1/2 ℏω
    I'm really quite terrible at this and im not sure how to proceed with this.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 25, 2014 #2

    Matterwave

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    Science Advisor
    Gold Member

    What does the fact that your particles are fermions have to do with the problem? How do these particles populate the energy states?
     
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