The angular momentum operator Ly · ABC26PH0149
Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Angular Momentum · Exam: CSIR NET 2013 · Marks: 2 · Difficulty: Easy
The angular momentum operator $\hat{L}_y$
(a)$-\dfrac{\hbar}{i}\left(y\dfrac{\partial}{\partial z}-z\dfrac{\partial}{\partial y}\right)$
(b)$\dfrac{\hbar}{i}\left(z\dfrac{\partial}{\partial x}-x\dfrac{\partial}{\partial z}\right)$
(c)$\dfrac{-i\hbar}{2m}\dfrac{\partial}{\partial x}$
(d)$\dfrac{\hbar}{i}\left(z\dfrac{\partial}{\partial x}-y\dfrac{\partial}{\partial y}\right)$
Answer
Answer: B ✓ checked by 4AB · confidence high
Explanation
L_y = zp_x − xp_z = (ħ/i)(z ∂/∂x − x ∂/∂z) (b).
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