Particle in a Box Energy Levels

E_{n} = \frac{n ^{2} h ^{2}}{8 m L ^{2}}

Quantized energy levels for a particle confined to a one-dimensional infinite potential well.

Variables

E_n

Energy of level n

Quantum number (n = 1, 2, 3...)

unitless

Planck constant

J·s

Particle mass

Box length

Solved from Schrödinger equation with boundary conditions ψ(0) = ψ(L) = 0.

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