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Quantum Particle Field: Wavefunction Tunneling Lab (2D)

A real 2D time-dependent Schrödinger equation solver: a Gaussian wavepacket meets a controllable potential barrier and tunnels through it, with live transmission probability, position-momentum uncertainty and a measurement/collapse button.

Quantum Physics2DModerate60 FPS📱 Mobile-adapted⇄ 3D version
2d-quantum-particle-field-auto-rotate ↗ Open standalone

This 2D companion replaces the orbiting-camera particle-swarm look of the 3D version with the actual quantum mechanics it only gestured at: a Gaussian wavepacket ψ(x,y,t) is evolved on a real grid by numerically integrating the time-dependent Schrödinger equation, launched at a height-controllable potential barrier so you can watch genuine tunneling — probability leaking through a classically forbidden wall — measured live as a transmission percentage, alongside a running Heisenberg uncertainty product and a real projective-measurement "collapse" button.

⚙ Under the hood

A real 2D time-dependent Schrödinger equation solver: a Gaussian wavepacket meets a controllable potential barrier and tunnels through it, with live transmission probability, position spread and a measurement/collapse button.

schrodinger equationquantum tunnelingwavefunction collapsefinite-difference methodheisenberg uncertaintyprobability density2d

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install

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