2. Bosons in 2D Harmonic Trap. Consider N bosons of mass m that are confined in a two dimensional isotropic harmonic tra
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2. Bosons in 2D Harmonic Trap. Consider N bosons of mass m that are confined in a two dimensional isotropic harmonic tra
2. Bosons in 2D Harmonic Trap. Consider N bosons of mass m that are confined in a two dimensional isotropic harmonic trap of the form V(x, y) = 5 mw?(x2 + y2). = (1) (a) (10 marks) Write down the energy spectrum for a single boson. (b) (10 marks) Calculate the density of states of the system. (c) (10 marks) Determine the Bose-Einstein condensation temperature Tc of the system.
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