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Homework Help: N spin 1/2 particles in 3D harmonic oscillator potential

  1. Dec 16, 2012 #1
    1. The problem statement, all variables and given/known data
    The 3-dimensional harmonic oscillator potential holds N identical non-reacting spin 1/2 particles

    a)How many particles are needed to fill the low lying states through E=(3+3/2)[itex]\bar{h}[/itex]ω

    b)What is the total energy of the system

    c)what is the fermi energy

    2. Relevant equations

    3. The attempt at a solution
    19 states for 38 total particles
    So I'm pretty sure I did part a correct. If so part b should just be the sum of the number of particles at each energy right?

    For part c isn't the given energy the fermi energy since I'm finding all the states below it?

    I'm not really sure about my reasoning on the part b and c
  2. jcsd
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