Can someone help me with this please? If anyone does give me any kind of *small* hints, I'd be very grateful.(adsbygoogle = window.adsbygoogle || []).push({});

Show that the eigenfunctions of the L_{z} operator with different eigenvalues are orthogonal. I don't have a clue how to start this, I'm not even sure what an eigenfunction is. I know how to do eigenvalues with matrices, but not QM. My notes have this:

Φ(φ) = e^(im_{l}φ)

L_{z}Φ = -ihbar dΦ/dφ = m_{l}hΦ(φ)

I don't understand.

An atomic electron is in a state where measurement of L_{z} may yield the values -3hbar and 3hbar with equal probabilities. Write down a normalised wavefunction describing this state. Again I'm stuck, do I need to use Φ(φ) = e^(im_{l}φ) in some way?

The recommended book for our course (Eisberg & Resnick) is confusing me more. Grr at stupid quantum mechanics .

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# Homework Help: Quantum mechanics - angular momentum problem

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