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T04.2 Atoms in a harmonic trap
We consider Nparticles in one dimension in an external potential,
mw2
K(x) =
2 X7.
(to)Write the complete Hamiltonian function for the system. Then calculate the number of
micro-states MAND) by means of the semiclassical approach.
(b)Calculate the entropy in the thermodynamic limit.
(c)Calculate the temperature and the work differential based on the result in part (b).

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