Write the form of the state vector at times t

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Question. Suppose that a given Hamiltonian system has two eigenstates |ε1> and |ε2>l where εi denotes the cigenstate energy with ε2 - ε1> 0. At time t = 0 the state vector for the system has the form

ψ(t = 0) = (|ε1) + |ε2)).

(a) Write the form of the state vector at times t > 0.

(b) What is the probability of finding the particle in state |ε2> as a function of t?

Reference no: EM131670381

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