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## Homework Statement

An electron in a one-dimensional infinite square well potential of length L is in a

quantum superposition given by ψ = aψ

_{1}+bψ

_{2}, where ψ

_{1}corresponds to the n = 1 state, ψ

_{2}corresponds to the n = 2 state, and a and b are constants. (a) If a = 1/3, use the

normalization requirement for ψ to determine the value of b. (b) If we perform a

measurement of the energy of the electron, what is the probability we will measure E1?

What is the probability we will measure E2?

## Homework Equations

Don't know.

## The Attempt at a Solution

So basically I have to find the ψ of an electron in the ground state and then in the n = 2 state? Do I solve for that? And how do I normalize a wave function that doesn't have "i" in the exponent? I've only learned that normalizing is making the "i" a "-i" as the conjugate, and then multiplying it with the original function. How do I normalize something without "i" in its exponent?

Thanks.

And then