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PolskiParticle-in-a-Box: Pauli Filling of Energy Levels (2D)
2D companion to the Pauli exclusion lab: a real particle-in-a-box energy ladder (E_n = n²h²/8mL²) filled two electrons per level with opposite spin, with live sliders for electron count and box size.
This 2D companion strips the 3D Pauli-exclusion lab's orbiting shells down to the underlying mechanism itself: a real 1D particle-in-a-box, whose energy levels E_n = n²h²/8m_eL² are computed live as you drag the electron-count and box-size sliders. Electrons fill the ladder two at a time — one spin-up, one spin-down — from the ground state up, exactly as Pauli exclusion demands, while a wavefunction pane plots the actual |ψ(x)|² probability density of the highest occupied level.
2D particle-in-a-box lab computing real E_n = n²h²/8mL² energy levels, filling them two electrons at a time (opposite spin) by the Pauli exclusion principle, with live electron-count and box-size sliders and a HOMO wavefunction-density plot.
2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install