Teaching MPPSC Assistant Professor Mock Test Series 2025 Chemical Sciences Basic Principles of Quantum Mechanics Operator Algebra
If \(\rm \left[ \hat A, \hat B \right]=0\) and \(\rm \left[ \hat A, \hat C \right]=0\), then which of the following necessarily holds:
\(\rm \left[ \hat A, \hat B\ and\ \hat C\ are\ operators \right]\)
1
\(\rm \left[ \hat B, \hat C \right]=0\)
2
\(\rm \left[\hat{A}, \widehat{B C}\right]=0\)
3
\(\rm \left[\hat{B}, \widehat{A C}\right]=0\)
4
\(\rm \left[\hat{C}, \widehat{A B}\right]=0\)