The value of commutator [x, px²] is given by

(d) 2 i ħ px. Explanation: [x, p²] = [x, p]p + p[x, p] = 2iħ px.

Q94 · CSIR-NET Chemistry, December 2012

Paper: CSIR-NET December 2012 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Postulates Operators · Marks: 2 · Difficulty: Easy

The value of commutator $\left[\hat{\mathrm{x}}, \hat{\mathrm{p}}_{\mathrm{x}}^{2}\right]$ is given by

(a)2 i

(b)$2 \mathrm{i} \hbar$

(c)$2 \mathrm{i} \hbar \mathrm{x}$

(d)$2 \mathrm{i} \hbar \mathrm{p}_{\mathrm{x}}$

Answer

Answer: D ✓ checked by 4AB · confidence high

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

Explanation

[x, p²] = [x, p]p + p[x, p] = 2iħ p_x.

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