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DNA Proton Tunneling (2D)

2D WKB tunneling calculator for the DNA hydrogen-bond proton: numerically integrates the real transmission-probability integral through a double-well potential and drives a stochastic tautomeric-shift model from the computed value.

Quantum Physics2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version

This is the 2D counterpart to the DNA Proton Tunneling 3D simulator: rather than integrating the full time-dependent Schrödinger equation, it computes the real WKB (Wentzel–Kramers–Brillouin) tunneling transmission probability for a hydrogen-bond proton crossing the double-well potential of a DNA base pair, using actual physical constants and a numerical Simpson's-rule integral evaluated live in your browser. Adjust the barrier height and width — standing in for different base pairs and hydrogen-bond geometries — and watch the computed transmission probability drive a stochastic two-state model of the tautomeric shift, the same Löwdin mechanism proposed as a quantum-mechanical route to spontaneous point mutations.

⚙ Under the hood

2D companion to the DNA Proton Tunneling 3D simulator: numerically integrates the real WKB transmission-probability formula through the double-well hydrogen-bond potential using actual physical constants, then drives a stochastic two-state tautomeric-shift model from the computed probability instead of animating the full wavepacket.

quantum biologyproton tunnelingWKB approximationDNAmutationisotope effect2D

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