PHYS 3750 Final: PHYS 3750 Final Exam 2003
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No examination aids other than calculators and data provided with this examination script are permitted. In a second time, show how these levels are further splitted when a small external magnetic eld is applied. In each case, clearly identify the di erent levels using the appropriate quantum numbers and also indicate the degeneracy of the di erent states. Final examination, december 16, 2003 page 2 of 7: the rigid rotator. A particle of mass is xed at one end of a rigid rod of negligible mass and length r. The other end of the rod, located at the origin, is attached to a bearing so that the particle can only rotate in the x y plane. This two dimensional rigid rotor is illustrated in fig. Figure 1: a rigid rotator moving in the x y plane (a) write a classical expression for the total energy of the system.
