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N identical non-interacting spin 0 particles confined in a cube of side-length L are in the ground state. (a) (2 points) What are the

N identical non-interacting spin 0 particles confined in a cube of side-length L are in the ground state. (a) (2 points) What are the Fermi and total energy of the system? (b) (2 points) Evaluate the pressure inside the box, what happens at the thermodynamic limit? (c) (1 point) Evaluate the compressibility of the system

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SOLUTION a The ground state energy of the system can be obtained by summing the energy of a single particle in the cube E0 N 2 pi L2 h2 2 m where N is ... blur-text-image

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