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Unformatted text preview: Homework #3 — PHYS 402 — Spring 2011 Deadline: Wednesday, February 23, 2011, in class Professor Victor Yakovenko Office: 2115 Physics Web page: http://www2.physics.umd.edu/ ~ yakovenk/teaching/ Textbook: David J. Griffiths, Introduction to Quantum Mechanics 2nd edition, Pearson Prentice Hall, 2005, ISBN 0131118927 Do not forget to write your name and the homework number! Be sure to answer all additional questions asked in this assignment! Total score is 28 points. Ch. 4 Quantum Mechanics in Three Dimensions 1. 6 points. We discussed in class that an arbitrary spinor χ = ( a,b ), where a and b are some complex numbers satisfying the normalization condition  a  2 +  b  2 = 1, can be always written in the form χ = a b ! = e iγ cos( α/ 2) e iβ/ 2 sin( α/ 2) e iβ/ 2 ! , (1) where α , β , and γ are some real parameters. Notice that the number of free parameters is the same as for the two complex numbers a and b subject to the normalization condition....
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 Spring '09
 Anlage
 Physics, Work, Wolfgang Pauli, Quantum state, spinor, Pauli matrices

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