Particle in a 2D box — wavefunctions, energies, and superpositions
Wavefunction |ψ(x,y)|²
Energy Levels
Off — showing single state
Energy levels: E(nx,ny) = (ℏ²π²/2m)(nx²/Lx² + ny²/Ly²). Degeneracy occurs when nx²+ny²
are equal for different (nx,ny) pairs. Color: blue=negative, black=zero, red=positive amplitude.
Superposition animates a coherent mix of two lowest states.