Quantum Potential Wells

Quantum Potential Well Simulator — Wavefunctions & Tunneling

This quantum potential lab shows wavefunctions ψ_n and probability densities |ψ|² inside infinite wells, finite wells, and tunnel barriers for quantum numbers n = 1 to 5. The left canvas draws the wavefunction with dashed energy-level lines and exponential evanescent tails in finite-well mode. In tunnel mode, incident (blue), evanescent (purple), and transmitted (green) wave segments are shown across the barrier with the transmission coefficient T displayed. The right canvas plots ground-state and excited-state energies for five well widths to illustrate the 1/L² quantum-confinement scaling.

What you can do in this simulation

• Switch between infinite well, finite well, and tunneling barrier modes
• Adjust quantum number n (1–5) and well width (0.3–5 nm)
• Set barrier height V₀ (5–100 eV), barrier width (0.1–2 nm), and particle energy
• See transmission coefficient T displayed for the tunneling mode
• View energy scaling chart for 5 different well widths on the right panel

Concepts covered

quantum confinement · wavefunction · energy quantization · potential well · quantum tunneling · probability density

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