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Non-Interacting Particles interact with a Potential

  1. Mar 13, 2012 #1
    1. The problem statement, all variables and given/known data

    Non Interacting Particles Interact with a external harmonic Potential. What are the energy levels of the system, and the partition functions when assuming the particles are (b) Bosons and (c) Fermions


    2. Relevant equations
    Energy of the system
    E=(ρ1)^2/2m + (ρ2)^2/2m+ mω^2/2 (x1+x2)

    ρ= momentum
    ω=angular frequency of the system


    3. The attempt at a solution

    The energy levels for a single oscillator are given by E=hbar ω (n + 1/2)
    I am not sure to go from here and how to incorperate the fact that there are two particles in the system

    Any help would be great!
     
  2. jcsd
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