# Particle on a ring

1. Mar 9, 2008

### evildarklord1985

I have troubles to do this one problem dealing with particle-on-a-ring,

Suppose we have a wavefunction as,
g(phi) = cos(phi) + 2 sin(2phi)

First, normalize the function g(phi). By inspection, or otherwise, write g(phi) as a linear combination of eigenfunction of Lz. State what possible results for a measurement of Lz in this state would be, and what would be the corresponding probablities to obtain each one values.

Thanks for any helps!

2. Mar 10, 2008

### genneth

Per the rules of the forum, you have to show some attempted workings...

Relevant equations:

$$L_z = -i \hbar \partial_\phi$$

Can you find the eigenfunctions?