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Consider a system of N distinguishable spins, in the presence of a magnetic field B = BÊ. The hamiltonian is: H = -BgµB E, Si Li=1 where Si is the z-component of the spin which can take the values +1/2 and -1/2. g is the gyromagnetic factor and uB is the Bohr magneton. (a)Determine the Canonical partition function for this system (b) Determine the Helmholtz free energy.

Consider a system of N distinguishable spins, in the presence of a magnetic field B = BÊ. The hamiltonian is: H = -BgµB E, Si Li=1 where Si is the z-component of the spin which can take the values +1/2 and -1/2. g is the gyromagnetic factor and uB is the Bohr magneton. (a)Determine the Canonical partition function for this system (b) Determine the Helmholtz free energy.

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Consider a system of N distinguishable spins, in the presence of a magnetic field B = BÊ. The hamiltonian is: H = -BgµB EA, Si Li=1 where Si is the z-component of the spin which can take the values +1/2 and -1/2. g is the gyromagnetic factor and µB is the Bohr magneton. (a)Determine the Canonical partition function for this system (b) Determine the Helmholtz free energy.
Transcribed Image Text:Consider a system of N distinguishable spins, in the presence of a magnetic field B = BÊ. The hamiltonian is: H = -BgµB EA, Si Li=1 where Si is the z-component of the spin which can take the values +1/2 and -1/2. g is the gyromagnetic factor and µB is the Bohr magneton. (a)Determine the Canonical partition function for this system (b) Determine the Helmholtz free energy.
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