Which of the functions below is a common eigenfunction of d/dx and d2dx2 operators?

ABC26PH1291 · Quantum Chemistry

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Postulates Operators · Exam: NET JUNE 2016 · Marks: 2 · Difficulty: Easy

Which of the functions below is a common eigenfunction of $\frac{\mathrm{d}}{\mathrm{dx}}$ and $\frac{\mathrm{d}^{2}}{\mathrm{dx}^{2}}$ operators?

(a)$\cos \mathrm{x}$

(b)kx

(c)$\mathrm{e}^{\mathrm{ix}}$

(d)$\mathrm{e}-\mathrm{x}^{2}$

Answer

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Explanation

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