Consider a particle with orbital angular momentum and in the state described by a wavefunction y(0,4) = (1/V5) Y1,-1 (0,0) + (/3/5)Y1,0 (0,4) + (/1/5)Y1,1 (0,4). (a) Find (b) If Lz were measured, what possible outcomes would occur and with what probabilities? (c) If after measuring Lz, we find that the eigenvalue is -ħ, calculate the uncertainties ALx and ALy and their product ALx ALy.

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Consider a particle with orbital angular momentum and in the state
described by a wavefunction
y(0,4) = (1/V5) Y1,-1 (0,0) + (/3/5)Y1,0 (0,4) + (/1/5)Y1,1 (0,4).
(a) Find <y|L+|y>
(b) If Lz were measured, what possible outcomes would occur and with
what probabilities?
(c) If after measuring Lz, we find that the eigenvalue is -ħ, calculate the
uncertainties ALx and ALy and their product ALx ALy.
Transcribed Image Text:Consider a particle with orbital angular momentum and in the state described by a wavefunction y(0,4) = (1/V5) Y1,-1 (0,0) + (/3/5)Y1,0 (0,4) + (/1/5)Y1,1 (0,4). (a) Find <y|L+|y> (b) If Lz were measured, what possible outcomes would occur and with what probabilities? (c) If after measuring Lz, we find that the eigenvalue is -ħ, calculate the uncertainties ALx and ALy and their product ALx ALy.
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