problems6 - M given by = 2 2 2 1 M a. Find all independent...

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Physics 4021: Introduction to Quantum Mechanics I Homework Assignment 6 Due in class: Tuesday, Oct. 25, 2007 1. Problem 3.2 2. Problem 3.4 3. Problem 3.6 4. Problem 3.7 5. Consider an operator which has the property that . What are the eigenvalues of this operator? What are the eigenvalues if Q ~ 1 ~ 4 = Q Q ~ is restricted to being Hermitain? 6. Consider the 2x2 matrix
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Unformatted text preview: M given by = 2 2 2 1 M a. Find all independent eigenvectors and eigenvalues for this matrix. b. Can this matrix be brought into a diagonal form by a similarity transform? If so, give the diagonal form of M and the similarity matrix for the transformation. If not, explain why not. 1...
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This note was uploaded on 02/23/2010 for the course PHYS 4021 taught by Professor Kim during the Fall '08 term at Columbia.

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