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Phys404_F08_ PS3

Phys404_F08_ PS3 - μ z =-1 0 1 m where m is a constant...

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Physics 404 Problem Set #3 (70 points total) Due Oct. 9, 2008 1. We discussed in class paramagnetism for a 2- level system: N spin s=½ objects each with s z = (up +½, down -½). Now work out the paramagnetism for a 3- level system. Consider N spin J=1 objects with three orientations: j z = (-1, 0, 1) placed in a magnetic field pointing in the z direction at temperature T. Each spin has a magnetic moment given by
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Unformatted text preview: μ z = (-1, 0, 1) m, where m is a constant. Define z= mB/kT where k is the Boltzmann constant. Derive (a) the partition function Z for each magnetic object, (b) the total magnetization M for the system c) the high and low temperature limits of M. (worth 15 points) 2. K&K Chapter 3 #4 3. K&K Chapter 3 #5 4. K&K Chapter 3 #6 (worth 18 points) 5. K&K Chapter 3 #7 6. K&K Chapter 3 #8 (worth 7 points)...
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