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- Homework Statement
- Given a wave packet as shown (see below), find the mean value of angular momentum components L_x, L_y, L_z with regard to point (a,0,-b) where a and b (the impact parameter) are nonzero

- Relevant Equations
- \frac{1}{\pi^{3/4} \sqrt{\sigma_x\sigma_y\sigma_z}}e^{-(x^2/2{\sigma_x}^2+y^2/2{\sigma_y}^2+z^2/2{\sigma_z}^2)}e^{i(p_0/\hbar)x}

I have typed up the main problem in latex (see photo below)

It seems all such integrals evaluates to 0, but that is apparantly unreasonable for in classical mechanics such a free particle is with nonzero angular momentum with respect to y axis.

It seems all such integrals evaluates to 0, but that is apparantly unreasonable for in classical mechanics such a free particle is with nonzero angular momentum with respect to y axis.