Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Chemical Sciences Basic Principles of Quantum Mechanics
A half parabolic potential is given by \(V(x)= \begin{cases}x^2, & 0
P: The second excited state energy eigenvalue is \(E = \frac{11}{2} \hbar \omega\)
Q: The ground state wavefunction is proportional to \(x e^{-α^2 x^2 / 2}\), where α is real positive constant.
Which among the above statements is/are CORRECT?
1
Only P
2
Only Q
3
Both P and Q
4
Neither P nor Q
5
Question Not Attempted