ABC26PH1271 · Quantum Chemistry

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Postulates Operators · Exam: NET JUNE 2014 · Marks: 2 · Difficulty: Medium

Two different non-zero operators $\hat{\mathrm{A}}$ and $\hat{\mathrm{B}}(\hat{\mathrm{A}} \neq \hat{\mathrm{B}})$ satisfy the relation $(\hat{\mathrm{A}}+\hat{\mathrm{B}})(\hat{\mathrm{A}}-\hat{\mathrm{B}})=\hat{\mathrm{A}}^{2}-\hat{\mathrm{B}}^{2}$
(a)$\hat{\mathrm{A}} \hat{\mathrm{B}}=\hat{\mathrm{A}}^{2}$ and $\hat{\mathrm{B}} \hat{\mathrm{A}}=\hat{\mathrm{B}}^{2}$
(b)$\hat{\mathrm{A}} \hat{\mathrm{B}}+\hat{\mathrm{B}} \hat{\mathrm{A}}=0$
(c)$\hat{\mathrm{A}}$ and $\hat{\mathrm{B}}$ are arbitrary
(d)$\hat{\mathrm{A}} \hat{\mathrm{B}}-\hat{\mathrm{B}} \hat{\mathrm{A}}=0$
Answer
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Explanation
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