Probability for a particle in a box

[rmjmu507]

Homework Statement

A particle in a box of width 2a is in a state $\psi=\frac{1}{\sqrt{2a}}$ for |x| less than or equal to a and 0 for |x| greater than a. What is the probability of finding the particle in [-b, b] inside the box? What is the probability of finding the particle with momentum p inside the box?

Homework Equations

None

The Attempt at a Solution

So, for the probability of finding the particle in [-b,b], I simply integrated the function from -b to b and found that the probability is b/a.

I'm not sure how to approach the probability calculation for finding the particle with momentum p though...can someone please provide some guidance?

 

[Orodruin]

What measurement values of the momentum operator are possible?