About Quantum Level Solver
Master the basics of quantum mechanics. This tool calculates the energy levels and wavefunctions for the classic "particle in a box" problem, showing both the math and the physical probability densities.
Quantum Level Solver
Calculate and visualize energy levels for a particle in a 1D infinite well.
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Quantum Level Solver
Particle in a 1D Infinite Square Well.
1
1
Energy (E_1)
3.7603e-1 eV
6.0247e-20 Joules
Wave Function & Probability
Wave Function (ψ)
Probability Density (|ψ|²)
Energy Levels
n = 13.760e-1 eV
n = 21.504e+0 eV
n = 33.384e+0 eV
n = 46.016e+0 eV
n = 59.401e+0 eV
Formulas Used
E_n = (n²h²) / (8mL²)
ψ_n(x) = √(2/L) sin(nπx/L)
Where L is well width, m is particle mass, n is quantum number, and h is Planck's constant.
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