# How do I integrate ψ1(x) / ψ2(x)?

1. Feb 19, 2010

### maxbye3

1. The problem statement, all variables and given/known data
Normalise Ψ(x,0) (use the fact that both ψ1 and ψ2 are stationary states).
Will this wave function be normalised at any later time, t > 0?

2. Relevant equations
A particle in an infinite square well of width a has as its initial wave function an even mixture of the first two stationary states,
Ψ(x, 0) = A(ψ1(x) + ψ2(x)) .

3. The attempt at a solution
I get the concept of normalisation I would integrate the square of A(ψ1(x) + ψ2(x)) between 0 and a and equate it to 1.
I am confused how to integrate ψ1(x) or ψ2(x).
I see that ψ(n)=(2/L)^0.5 sin(π/L)exp−i(n2π2 ̄h)/2mL2)t
does the exponential term cancel when I square the complex conjugate?

Anyway any help would be deeply appreciated, thanks.

Last edited: Feb 19, 2010