4. A particle is in the state 1 2 Y? (9.4)+ "(0.0) - Y (0,0), | V5 V5 which is a superposition of the normalized eigenstates, Y" (0,¢), of the L² operator. Calculate the value of the total angular momentum of the particle in this state. Also, calculate the expectation value of the operator L+L_ in this state.

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4. A particle is in the state
2
1
Y (0,0)+
V5
Y, '(0,ø) – Y (0,¢),
V5
which is a superposition of the normalized eigenstates, Y;" (0,¢), of the L² operator.
Calculate the value of the total angular momentum of the particle in this state. Also,
calculate the expectation value of the operator L+L_ in this state.
Transcribed Image Text:4. A particle is in the state 2 1 Y (0,0)+ V5 Y, '(0,ø) – Y (0,¢), V5 which is a superposition of the normalized eigenstates, Y;" (0,¢), of the L² operator. Calculate the value of the total angular momentum of the particle in this state. Also, calculate the expectation value of the operator L+L_ in this state.
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