4. The electron in a Li²? ion is prepared in the following state:
?(r,?, ?) = \left(-\frac{1}{3}\right)^{1/2} ?_{4p_x} + \frac{2}{3}i \left(\frac{2}{9}\right)^{1/2} ?_{1s}
This is a linear combination of the hydrogenic atomic orbitals.
a) If the energy of this system is measured, what value(s) will be found? If more than one
value can be found, give the probability of measuring that value.
b) What is the average energy of this system?
