QM States for Rigid Rotor

Prerequisites

Students should be able to:

  • FIXME

In-class Content

Homework for Central Forces

  1. (AngMomProb)

    An angular momentum system with $l=1$ is prepared in the state: $$\ket{\psi}=\frac{2}{\sqrt{29}}\ket{1,1}+i\frac{3}{\sqrt{29}}\ket{1,0}-\frac{4}{\sqrt{29}}\ket{1,-1}$$

    1. What are the possible results of a measurement of the angular momentum component $L_z$, and with what probabilities would they occur?

    2. What are the possible results of a measurement of the angular momentum component $L_x$, and with what probabilities would they occur?

    3. Plot histograms of the predicted measurement results from parts (a) and (b).


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