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Homework Help: Particle on a ring

  1. Mar 9, 2008 #1
    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. jcsd
  3. Mar 10, 2008 #2
    Per the rules of the forum, you have to show some attempted workings...

    Relevant equations:

    [tex]L_z = -i \hbar \partial_\phi[/tex]

    Can you find the eigenfunctions?
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