\(\sqrt{1/3}\:\psi_{2s} - \sqrt{1/6}\:\psi_{2px} + \sqrt{1/2}\:\psi_{2py} \)
This is a normalized, one-electron state. Let's calculate the x and y components of the expectation value of the position of that electron.
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Today we calculated the expectation values for <x> and <y>. We found out that they both have integrals that are equal to the same value. However, they are different values. They depend on A, the normalization factor, and the coefficients(sqrt(1/3), sqrt(1/6), and sqrt(1/2)). Most terms cancelled out though.
For <x> the term that didn't turn to zero was
For <y> the term that didn't go to zero was
Work done for <x>
Work done for <y>
Answers to both <x> and <y> expectation values
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