Problem 15. (Hydrogen atom. Matrix representation of operators). Consider the electron in a hydrogen atom to be in the state n = 3, l = 1, m = 1, i.e. |3, 1, 1) (a) Construct the wave function of this state in coordinate space and express your answer in terms of r, 0 and ø. (b) If you could measure the observable Ln = (La + Ly), what values could one get and what would be their associated probabilities?
Problem 15. (Hydrogen atom. Matrix representation of operators). Consider the electron in a hydrogen atom to be in the state n = 3, l = 1, m = 1, i.e. |3, 1, 1) (a) Construct the wave function of this state in coordinate space and express your answer in terms of r, 0 and ø. (b) If you could measure the observable Ln = (La + Ly), what values could one get and what would be their associated probabilities?
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Transcribed Image Text:Problem 15. (Hydrogen atom. Matrix representation of operators).
Consider the electron in a hydrogen atom to be in the state n = 3, l = 1, m = 1, i.e. |3, 1, 1)
(a) Construct the wave function of this state in coordinate space and express your answer in terms of r, 0 and ø.
(b) If you could measure the observable Ln = (La + Ly), what values could one get and what would be their
associated probabilities?
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