(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A particle is in an infinte square well extending from x = 0 to x = a. Its state is a

linear combination of the two lowest energy states.

Psi(x, t) = A(2 Psi1(x, t) + Psi2(x, t))

a) If a measurement of energy is made what are the possible results of the measurement?

What is the probability associated with each? What is the average value of energy?

2. Relevant equations

3. The attempt at a solution

I know that when the Hamiltonian operates on Psi_n(x,t) it give E_n Psi_n(x,t), right? So are the possible results just Psi1(x,t) and Psi2(x,t) or would they be 2A E1 Psi1(x,t) and A E2 Psi2(x,t)? I am confused because I know quantum state vectors are supposed to be normalized but I am confused how that translates to wave functions?

And as for the probability, I really am not sure where to start can someone point me in the right direction?

Thanks for the help

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# Homework Help: Particle in a box

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