The electron in a hydrogen atom is in a state given by the overall wavefunction (position + spin) |V) = R2,1(r) VY1.(0, 6)x+ + - %3D (a) If one were to measure the orbital angular momentum squared L², what values might one get and what are their associated probabilities? (b) If one were to measure the spin squared S?, what values one might get and what are their correspond- ing probabilities? (c) If one were to measure the total angular momentum squared J2 (J = L+S), what values might one get and what are their associated probabilities?

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Q4.2) Answer question completely and with much detail as possible. Need to understand the concept.
The electron in a hydrogen atom is in a state given by the overall wavefunction (position + spin)
(a) If one were to measure the orbital angular momentum squared L², what values might one get and
what are their associated probabilities?
(b) If one were to measure the spin squared S², what values one might get and what are their correspond-
ing probabilities?
(c) If one were to measure the total angular momentum squared J2 (J = L+S), what values might one get
and what are their associated probabilities?
(d) If one were to measure the z-component of the total angular momentum J2, what values might one
get and what are their associated probabilities?
Transcribed Image Text:The electron in a hydrogen atom is in a state given by the overall wavefunction (position + spin) (a) If one were to measure the orbital angular momentum squared L², what values might one get and what are their associated probabilities? (b) If one were to measure the spin squared S², what values one might get and what are their correspond- ing probabilities? (c) If one were to measure the total angular momentum squared J2 (J = L+S), what values might one get and what are their associated probabilities? (d) If one were to measure the z-component of the total angular momentum J2, what values might one get and what are their associated probabilities?
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