Quantum mechanics For the comment below: There is no more information. This is t

Question

Quantum mechanics

For the comment below: There is no more information. This is the whole assignment.

Consider a particle in an infinite square well of width a with a wave function that at t = 0 is Psi (x, 0) = 4/5 Squareroot 2/a sin (pi/a x) + 3/5 Squareroot 2/a sin (2 pi/a x) Find the probability distribution for (*a) measuring the particle to be at position x at some later time t_1. (*b) measuring the particle to have an energy E at some later time t_1 (if no measurement of position was performed). (*c) measuring the particle to be at position x at some time t_2 if the particle was measured to have energy 2 pi^2 h^2/(ma^2) at time t_1

Explanation / Answer

The wavefunction of the particle at t=0 is given.

First, we normalize the given wavefunction.

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