Qualifying Exam for Graduate Students – Fall 2008
Quantum Mechanics 1 . A particle in the harmonic-oscillator potential (i.e., ) is in the superposition at , where and are eigen states of the potential. Find for . HINT: , , ,. Generally, . Quantum Mechanics 2 . Consider a quantum rotating dumbbell with moment of inertia I and Hamiltonian, given in terms of the vector angular momentum operator. ................
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