Q75 · 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, $\hat{T}_x$ and the momentum operator, $\hat{p}_x$ for the one-dimensional case is
(a)$i\hbar$
(b)$i\hbar\frac{\mathrm{d}}{\mathrm{d}x}$
(c)$0$
(d)$i\hbar x$
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.
Study loop for Quantum Chemistry