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Please answer the question below in a clean and correct manner as quick as you can

. Questions are associated to Introductory Quantum Mechanics.

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Problem 2.
Consider a Hamiltonian in one-space dimension having two energy eigenvalues E1 and
E2. The corresponding stationary state wavefunctions are 1(x) and 1/2(I), respec-
tively. We assume they are properly normalized and orthogonal to each other, i.e.,
too
too
(1)
Suppose at time t = 0, we produce a state I(x, 0) of the form
V(x, 0) = 1(x) cos 9 + 12(x) sine ,
(2)
and let it evolve with time. At time t, the wavefunction evolves into I(x, t).
Define the probability for I(x, t) to remain the same as the original state I(x, 0)
(3)
Derive P as a function of time t and the parameters O, E1 , E2.

Step-by-step answer

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