Consider N non-interacting identical particles moving in an external linear harmonic oscillator potential. I want to calculate the energy per particle in ground state and show that

  1. It is constant if the particles are bosons.

  2. propotionl to N if the particles are fermions.

I have no idea how to tackle this problem. Can anyone provide an insight or give a solution?

  • 1
    $\begingroup$ What's a "linear" harmonic oscillator potential, and how does it differ from a normal harmonic oscillator? What's so "external" about it? $\endgroup$ – Emilio Pisanty May 28 '18 at 4:17
  • $\begingroup$ It is the normal harmonic oscillator. $\endgroup$ – Fawzy Hegab May 28 '18 at 17:36

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