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Unformatted text preview: Problem Set 03 Note: The following problem set is is due September 26 by midnight. Please return directly to me in my office Rutherford 321. If I’m not there slip your assignment below my door. 1. Give short answers to the following questions. (a) Imagine a classical particle of mass m and charge q that is rotating at an angular velocity ω with a particular magnetic moment μ . We switch on a magnetic field B along z-direction such that it is oriented at an angle θ with the magnetic moment vector μ (see figure below): B μ Discuss the resulting dynamics classically when the magnetic field ( i ) is a constant, and ( ii ) varies in the z-direction. (b) A certain quantum system is described by eigenstates given by the ket vectors | a i i with i = 1 , 2 , ..., n and a i are numerical values that are specific to the eigenstates. A generic quantum state in the system is given by: | ψ i = n X i =1 α i | a i i (1) where α i are complex numbers. Show that the real and the imaginary parts ofare complex numbers....
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This note was uploaded on 12/15/2010 for the course PHYS 357 taught by Professor Keshavdasgupta during the Fall '05 term at McGill.
- Fall '05