Can someone help me with expectation values for the radial wavefunction?

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Homework Help Overview

The discussion revolves around calculating the expectation value of the angular momentum operator Lz for a specific radial wavefunction, specifically Y2,-2. Participants are exploring the implications of quantum mechanics and the properties of wavefunctions.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss using matrix representation for the basis l=2 and the application of the expectation value in ket-bra notation. There are questions about the normalization of the wavefunction and the correct interpretation of the radial function versus spherical harmonics.

Discussion Status

The conversation is ongoing, with some participants providing guidance on the approach while others express confusion and seek further clarification. There is an emphasis on adhering to forum rules regarding problem-solving attempts.

Contextual Notes

Participants are reminded of the forum's rules against providing complete solutions, and there is a mention of the necessity to show attempts at solving the problem to receive assistance.

cwhitis
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Show that the expectation value of Lz is -2h for the radial wavefunction Y2,-2. ? Can someone do this?
 
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Use the matrix representation for the basis l=2.

Remember that
<br /> \mathbf{L_z} = m\hbar<br />
 
Last edited:
Thanks but I still don't understand, could you work it out?
 
That's not how it works here. It's against the forum rules to provide solutions, and you need to show some attempt at solving the problem before you'll get help here.
 
The wavefunction is normalized. Radial function cannot be Y, that's the spherical harmonics. Just apply the expected value in the ket-bra notation
 

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