Potential energy V = 0 inside box (0 < x < L) V = ∞ outside box Hamiltonian $$\hat {H} = -\frac {\hbar ^2}{2m} \frac {d^2}{dx^2}$$ Wavefunctions $${(\frac {2}{L})}^{1/2} \sin (\frac {n\pi}{L}x)$$ Quantum Numbers n = 1, 2, 3, … Energies $$E = n^2 (\frac {h^2}{8mL^2})$$ Spectroscopic Selection Rules Δn = odd integer Angular Momentum Properties none