A particle in an infinite square well has an initial wave function that is an equal combination of the first two stationary states:
\(Ψ(x, 0) = A[\psi_{1}(x) + \psi_{2}(x)]\) . What is the average energy of the system?
1
\(⟨H⟩ = \frac{5\pi^2 \hbar^2}{2ma^2}\)
2
\(⟨H⟩ = \frac{5\pi^2 \hbar^2}{4ma^2}\)
3
\(⟨H⟩ = \frac{3\pi^2 \hbar^2}{2ma^2}\)
4
\(⟨H⟩ = \frac{3\pi^2 \hbar^2}{4ma^2}\)