The commutator [x³, px] is equal to · ABC26PH0290

Subject: Physical Chemistry · Chapter: Atomic Structure · Topic: Atomic Structure – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Easy

The commutator $[x^{3}, p_x]$ is equal to

(a)$-\dfrac{3hx^{2}}{2\pi i}$

(b)$\dfrac{hx}{2\pi i}$

(c)$\dfrac{hx^{2}}{2\pi i}$

(d)$\dfrac{3hx^{2}}{2\pi i}$

Answer

Answer: A ✓ checked by 4AB · confidence high

The source book printed no answer; this one was worked out and checked — see the explanation.

Explanation

[x³, p_x] = 3x²·[x, p_x] = 3iħx² = 3ihx²/2π = −3hx²/(2πi), option (a).

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