(2) “Spin-1/2 particles" in magnetic field B can take energies E = (a) For N non-interacting spin-1/2 particles at temperature T, derive the partition function Z and Helmholtz free energy F. (b) Calculate the magnetic moment of this system, given by m = - T
(2) “Spin-1/2 particles" in magnetic field B can take energies E = (a) For N non-interacting spin-1/2 particles at temperature T, derive the partition function Z and Helmholtz free energy F. (b) Calculate the magnetic moment of this system, given by m = - T
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Transcribed Image Text:(2) “Spin-1/2 particles" in magnetic field B can take energies E = ±µBB.
(a) For N non-interacting spin-1/2 particles at temperature T, derive the partition function Z
and Helmholtz free energy F.
(b) Calculate the magnetic moment of this system, given by m = -
T
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