Unformatted text preview: and S y for spin1/2. e.) Show explicitly that S 2 = v S Â· v S = p 2 s ( s + 1). 2. [15 points] Consider an electron whose position is held Fxed, so that it can be described by a simple twocomponent spinor. The initial state of the particle is spinup ( m s = 1 / 2) with respect to the zaxis. At time t = 0 a uniform magnetic Feld is applied along the yaxis. What is the statevector of this system at any arbitrary time t > 0. 3. [15 points] CohenTannoudji problem 9.1, page 990 4. [15 points] CohenTonnoudji problem 9.2, page 990 5. [20 points] CohenTannoudji problem 9.3, page 991 1...
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This note was uploaded on 10/25/2010 for the course PHYSICS PHYS 851 taught by Professor Michaelmoore during the Fall '08 term at Michigan State University.
 Fall '08
 MichaelMoore
 mechanics, Work

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