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For Students · Quantum Tunneling

Quantum Tunneling for a quantum dot

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a quantum dot live below — adjust the inputs and watch it respond, right in your browser.

Quantum TunnelingLive

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Classically a particle with less energy than a barrier is trapped. Quantum mechanically its wavefunction decays inside the barrier but does not vanish, so there is a finite chance it appears on the other side — tunneling. The probability falls off exponentially with barrier width and height, the principle behind scanning tunneling microscopes and nuclear fusion.

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Data Inspector

Transmission T2.34e-6
Reflection R1.000
Regimetunneling

Governing equation

Reading this result: The barrier is thick and tall relative to the energy, so transmission is vanishingly small — essentially nothing gets through.

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Frequently asked questions

Is this good for students?
Yes — this version of "Quantum Tunneling for a quantum dot" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?
No. It runs in any modern browser, free, with no account required.