For Students · Quantum Tunneling
Quantum Tunneling for a band structure
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 band structure live below — adjust the inputs and watch it respond, right in your browser.
Quantum TunnelingLive
through a barrier it cannot climb
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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.
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 band structure" 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.