Teaching MPPSC Assistant Professor Mock Test Series 2025 Chemical Sciences Basic Principles of Quantum Mechanics
Consider the following statements about Hermitian operators:
(i) If A and B are Hermitian then AB + BA is Hermitian and AB - BA is anti-Hermitian.
(ii) If A and B are Hermitian then iAB + BA is Hermitian and iAB - BA is anti-Hermitian.
(iii) The multiplication of two commuting Hermitian operators is always Hermitian.
Which of the following combinations of statements is/are correct?
1
(i) only
2
(ii) only
3
(iii) only
4
(i) and (iii)