Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Chemical Sciences Basic Principles of Quantum Mechanics
The expectation value of the operator \(\hat{A}=\hat{S}_y \hat{S}_x-\hat{S}_x \hat{S}_y\), in the spin-down eigenvector of a spin 1/2 particle, is (Here \(\hat{S}_y\), and \(\hat{S}_x\) are spin angular momentum operators)
1
\(i \hbar^2\)
2
\(\frac{-i \hbar^2}{2}\)
3
\(-i \hbar^2\)
4
\(\frac{i \hbar^2}{2}\)
5
Question Not Attempted