4AB › Chemistry PYQ › CSIR-NET › June 2014 › Q75Q75 · CSIR-NET Chemistry, June 2014 Paper: CSIR-NET June 2014 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Postulates Operators · Marks: 2 · Difficulty: Medium
The commutator of the kinetic energy operator, $\hat{\mathrm{T}}_{\mathrm{x}}$ and the momentum operator, $\hat{\mathrm{p}}_{\mathrm{x}}$ for the one dimensional case is
(a) $\mathrm{i} \hbar$
(b) $\mathrm{i} \hbar \frac{\mathrm{d}}{\mathrm{dx}}$
(c) 0
(d) $\mathrm{i} \hbar \mathrm{x}$
Answer Answer: C ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation T̂_x = p̂_x²/2m is a function of p̂_x alone, so [T̂_x, p̂_x] = 0.
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