The electron in the Hydrogen atom is in a state described by the wave function A (20'z00(r) + V3vz11(r) + v2ys2-1(r)] (a) Find the value of the normalization constant A. (a) What is the expectation value of the energy? (b) What is the expectation value of L2?

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The electron in the Hydrogen atom is in a state described by the wave function
A (20°z00(r) + v3¢z11(r) + v2y32-1(r)]
(a) Find the value of the normalization constant A.
(a) What is the expectation value of the energy?
(b) What is the expectation value of L²?
(c) If one were to measure L2, what values would you get and what are the probabilities associated with those
values?
(d) Find the expectation value of the potential (V) for this state.
Transcribed Image Text:The electron in the Hydrogen atom is in a state described by the wave function A (20°z00(r) + v3¢z11(r) + v2y32-1(r)] (a) Find the value of the normalization constant A. (a) What is the expectation value of the energy? (b) What is the expectation value of L²? (c) If one were to measure L2, what values would you get and what are the probabilities associated with those values? (d) Find the expectation value of the potential (V) for this state.
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