Consider the electron in a hydrogen atom is in a state of ψ(r) = (x + y + 3z)f(r). where f(r) is an unknown function depending only on r. (a) Is ψ an eigenstate of Lˆ2? Find the eigenvalue if your answer is ’Yes’. (b) Compute the probabilities of finding this electron in eigen states with m = −1, 0, +1. (c) Compute in this state.
Consider the electron in a hydrogen atom is in a state of ψ(r) = (x + y + 3z)f(r). where f(r) is an unknown function depending only on r. (a) Is ψ an eigenstate of Lˆ2? Find the eigenvalue if your answer is ’Yes’. (b) Compute the probabilities of finding this electron in eigen states with m = −1, 0, +1. (c) Compute in this state.
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Consider the electron in a hydrogen atom is in a state of ψ(r) = (x + y + 3z)f(r).
where f(r) is an unknown function depending only on r.
(a) Is ψ an eigenstate of Lˆ2? Find the eigenvalue if your answer is ’Yes’.
(b) Compute the probabilities of finding this electron in eigen states with m = −1, 0, +1. (c) Compute <Lz> in this state.
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