Question

Suppose N particles with spin 1/2 and magnetic moment u are placed on the lattice points. They will be oriented so that the magnetic ?B field of the spins oriented in the +z direction is parallel. The spin will be either up or down relative to the z-axis. The figure shows the possible orientations of the spins. The spin eigenvalue of the spin-up levels is ?/2 and the spin-down level is -?/2. The particle has an energy eigenvalue given by ? = -?B if the spin is up and an energy eigenvalue given by ? = ?B if the spin of the particle is downward. Calculate the entropy of this system.

          Suppose N particles with spin 1/2 and
magnetic moment u are placed on the lattice points.
They will be oriented so that the magnetic ?B
field of the spins oriented in the +z direction
is parallel. The spin will be either up or down
relative to the z-axis. The figure shows the possible
orientations of the spins. The spin eigenvalue of
the spin-up levels is ?/2 and the spin-down
level is -?/2. The particle has an energy eigenvalue
given by ? = -?B if the spin is up and an
energy eigenvalue given by ? = ?B if the spin of the
particle is downward. Calculate the entropy of
this system.

Suppose N particles with spin 1/2 and
magnetic moment u are placed on the lattice points.
They will be oriented so that the magnetic ?B
field of the spins oriented in the +z direction
is parallel. The spin will be either up or down
relative to the z-axis. The figure shows the possible
orientations of the spins. The spin eigenvalue of
the spin-up levels is ?/2 and the spin-down
level is -?/2. The particle has an energy eigenvalue
given by ? = -?B if the spin is up and an
energy eigenvalue given by ? = ?B if the spin of the
particle is downward. Calculate the entropy of
this system.

Added by Alicia J.

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