Particle in a Box
Quantized energy states arise when a particle is confined in a one-dimensional well, and the spacing between levels grows with increasing quantum number. Use the slider to explore the first 20 eigenstates and compare each wavefunction with its probability density.
Wavefunction
ψn(x)
Probability
|ψn|2
En = 1 E1
E1 = h2 / 8 m L2
ψn(x) = √(2 / L) sin(nπx / L)
Nodes: 0