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

Problem 1. If I had a wavefunction: [tex] \Psi(x,0) = A(\psi_1(x) + \psi_2(x))[/tex]

What is the probability of getting E1 or E2 as your energy?

Problem 2 You have a wavefunction:

[tex] \Psi(x,0) = Ax; 0<= x <= a/2 ; A(a-x); a/2<= x <= a [/tex]

What is the probability that an energy measurement would yield E1.

2. Relevant equations

Given Up above

3. The attempt at a solution

For problem 1, i feel the probabilities should be 1/2 for each of them, but this seems too easy. I also normalized and found Psi(x,t), A = 1/sqrt(2)

For problem 2 I'm completely lost

There are an infinite amount of energy levels so shouldnt the probability be 0, but then this doesn't make any sense. I feel I'm missing something. Are the probabilities not that easy?

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# Another Quick Couple of Infinite Well Questions

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