Particle in a Box Calculator

Calculate quantum energy levels for a particle in an infinite potential well

Energy Level Formula

1D: E_n = n² × h² / (8mL²)

2D: E = (n_x² + n_y²) × h² / (8mL²)

3D: E = (n_x² + n_y² + n_z²) × h² / (8mL²)

Wave function: ψ_n(x) = sqrt(2/L) × sin(nπx/L)

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Editorial Note

MyCalcBuddy Editorial Team

This page is maintained as an educational calculator reference.

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Formula Source: University Physics

by Young & Freedman

🔄Last reviewed: May 2026
✓Formula checks are based on standard references and internal QA review.