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Science · Advanced Physics
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4. The Hamiltonian for some two level system is os sinOe* where C is a constant with dimensions of energy, and ordinates. and ф represent spherical polar co- (a) Find the energy eigenvalues and normalised eigenvectors for this system. Show that the eigenvectors are orthogonal. 5 marks) (b) If the system is initially in the state , calculate the probability that a measurement (3 marks) 2 marks) of the energy will yield each energy eigenvalue. (c) What will be the state of the system at some later time T?

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