HW3 - 3 } and eigenvectors {| 1 a , | 2 a , | 3 a} of H ....

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PHYS851 Quantum Mechanics I, Fall 2008 HOMEWORK ASSIGNMENT 3: Fundamentals of Quantum Mechanics 1. Cohen-Tannoudju: pp 205-209, problems 8,9,10 pp 341-350, problems 1,3 2. Consider the system with three physical states {| 1 a , | 2 a , | 3 a} . In this basis, the Hamiltonian matrix is: H = 1 2 i 1 2 i 2 2 i 1 2 i 1 Find the eigenvalues { ω 1 , ω 2 , ω
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Unformatted text preview: 3 } and eigenvectors {| 1 a , | 2 a , | 3 a} of H . Assume that the initial state of the system is | (0) a = | 1 a . Find the three components A 1 | ( t ) a , A 2 | ( t ) a , and A 3 | ( t ) a . All your answers must be written using proper Dirac notation....
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