The raising (J+) and lowering (J_) operators are defined by J+=JX+ iJy and J_ = JX- iJy.Read the following passage to answer the given questions based on it. Choose the correct options. (Marks: 1)What would be J- J+OPTIONS J2 - Jz2 - hJz J - Jz2 - hJz J - Jz + hJz J- Jz2 + hJz
Question
The raising (J+) and lowering (J_) operators are defined by J+=JX+ iJy and J_ = JX- iJy.Read the following passage to answer the given questions based on it. Choose the correct options. (Marks: 1)What would be J- J+OPTIONS J2 - Jz2 - hJz J - Jz2 - hJz J - Jz + hJz J- Jz2 + hJz
Solution
The correct option is J^2 - Jz^2 - ħJz.
Here's the step-by-step solution:
The commutation relation between J+ and J- is given by [J+, J-] = 2ħJz.
We can use this relation to find the expression for J-J+:
J-J+ = J^2 - Jz^2 - ħJz.
This is derived by applying the commutation relation to the expression for J-J+ and simplifying.
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