- #1
Jimmy87
- 686
- 17
Homework Statement
Normalise the wavefunction in the diagram which is given by:
psi(x) = A {x} < a
{x} is supposed to be mod x.
Homework Equations
None specifically
The Attempt at a Solution
I know that the square integral of the wavefunction needs to be set equal to 1. I am unsure exactly what I square as I haven't seen a wave-function written with a mod x. I know that mod x just means x with positive values. I know I need to square the wavefunction first so would that be:
psi(x) squared = A^2 a^2?
The answer for the square integrable of this wavefunction is A^2(2a) according to my textbook but they don't show you how. You would then have to choose A equal to 1/sqrt 2a and plug that into the original function to normalise it. I don't see how the square integral is A^2(2a) unless you take the area of the graph to be the integral of the function which is A(2a) but then if you square this then you get A^2(2a)^2?