The linear momentum of a particle described by the wavefunction e-ikx is · ABC26PH0310

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

The linear momentum of a particle described by the wavefunction $\mathrm{e}^{-\mathrm{ikx}}$ is

(a)kh

(b)-kh

(c)$\mathrm{k} \hbar$

(d)$-\mathrm{k} \hbar$

Answer

Answer: D ✓ checked by 4AB · confidence high

Explanation

p̂e^(−ikx) = −iħ(−ik)e^(−ikx) = −kħ e^(−ikx), so the momentum is −kħ (d).

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