852quiz2 - 2. Write the projector I n onto each degenerate...

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NAME: QUIZ 2 PHYS852 Quantum Mechanics II, Spring 2009 A two-spin quantum system has four states. Given in terms of total-spin quantum number s and its z- component m s , these states are the singlet state | 0 , 0 a , and the three triplet states | 1 , 1 a , | 1 , 0 a , and | 1 , 1 a . Let us assume that the bare Hamiltonian is H 0 = E 0 p 2 S 2 z , where S z is the z-component of the total spin. 1. Give the energy levels of the system and their degeneracies
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Unformatted text preview: 2. Write the projector I n onto each degenerate subspace 3. Assume the interaction takes the form V = V ( | 1 , aA , | + | , aA 1 , | + | 1 , 1 aA 1 , 1 | − | 1 , − 1 aA 1 , − 1 | ) . Identify the ’good’ basis for perturbation theory....
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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.

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