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====== Calculating Expectation Values in Superposition States ======

===== The Prompt =====



$$\vert\Phi\rangle=\frac{1}{\sqrt{5}}\vert\varphi_1\rangle+\sqrt{\frac{3}{5}}\vert\varphi_2\rangle+\frac{1}{\sqrt{5}}\vert\varphi_3\rangle$$

**Is this superposition of energy eigenfunctions itself an eigenfunction of the Hamiltonian?
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Calculate the average value of $x$.
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Calculate $\langle H^2 \rangle$
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What is the time dependence of the state vector?**

FIXME the slides need some editing; also too many ideas here for 1 exercise.

===== Context =====

This [[strategy:smallwhiteboard:|SWBQ]]

===== Wrap Up =====

{{swbq:wvsw:wvswsuperpose.ppt|Powerpoint slide}}
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{{swbq:wvsw:wvswsuperpose.pdf|PDF slide}}




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