An operator A is defined as A=-d / dx+x. Which one of the following statements is true?

ABC26PH1207 · Quantum Chemistry

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Postulates Operators · Exam: NET JUNE 2011 · Marks: 2 · Difficulty: Easy

An operator A is defined as $\mathrm{A}=-\mathrm{d} / \mathrm{dx}+\mathrm{x}$. Which one of the following statements is true?

(a)A is a Hermitian operator.

(b)$\mathrm{A}^{\dagger}$ is an antihermitian operator.

(c)Both $\mathrm{AA}^{\dagger}$ and $\mathrm{A}^{\dagger} \mathrm{A}$ are Hermitian.

(d)$\mathrm{AA}^{\dagger}$ is Hermitian, but $\mathrm{A}^{\dagger} \mathrm{A}$ is antihermitian

Answer

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Explanation

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