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Unformatted text preview: Physics 115A Ninth Problem Set Harry Nelson Office Hour None this week! TA: Antonio Boveia Office Hours M 910am, Fr 13pm PLC Grader: Victor Soto Office Hours Th 11:0012:30pm PLC due Monday, March 10, 2003 1. In this problem find the propagator and interpret the results for the simplest 2state system. Your understanding of this problem can be applied to Magnetic Resonant Imaging, neutrino oscillation, and CP violation, among other physics problems. For the 2state system here, imagine that the eigenvalues are: E 1 = + h 2 , E 2 = h 2 , where can be thought of simply as a parameter related to the energy eigenvalues. The propagator, U ( t, 0), is then: U ( t, 0) =  h/ 2 ) e it/ 2 ( h/ 2  +   h/ 2 ) e it/ 2 ( h/ 2  (a) Find the matrix that represents the Hamiltonian, H , in the eigenbasis of H . (b) Find the matrix that represents the propagator U ( t, 0) in the eigenbasis of H ....
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This note was uploaded on 08/06/2008 for the course PHYS 115A taught by Professor Nelson during the Winter '03 term at UCSB.
 Winter '03
 Nelson
 Physics, mechanics

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