concept

energy barrier

A potential energy threshold that particles must overcome, here tunneled through by electrons.
18 related articles

Description

An energy barrier is a potential energy threshold that a particle must overcome to transition from one state to another. In classical physics, a particle needs kinetic energy at least equal to the barrier height to pass over it. In quantum mechanics, however, particles can 'tunnel' through barriers even with less energy, a purely wave-like phenomenon with no classical analogue. This concept is central to nuclear fusion in stars, where protons tunnel through the Coulomb repulsion to fuse, and to many electronic devices.

History

The concept emerged in the late 1920s when George Gamow, and independently Ronald Gurney and Edward Condon, used quantum tunneling to explain alpha decay — the first application of quantum mechanics to nuclear physics.

How it works

A particle approaching a barrier is described by a wavefunction that penetrates into the classically forbidden region. If the barrier is thin enough, the wavefunction's amplitude does not decay to zero before reaching the other side, giving a small but nonzero probability of transmission. The tunneling probability depends exponentially on the barrier's width and height, as well as the particle's mass — lighter particles tunnel more easily. This is why electrons tunnel readily in semiconductors, while heavier nuclei require extremely thin barriers.

In practice

Tunneling through energy barriers is exploited in flash memory storage, scanning tunneling microscopes that image surfaces atom by atom, and in the design of tunnel diodes for high-speed electronics.

Fun fact

The Sun's fusion reactions proceed at a rate that would be impossible classically — the core temperature is too low for protons to overcome the Coulomb barrier — but quantum tunneling makes it happen, and the Sun shines because of it.

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Related articles · 18

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Quantum Physics2026-06-091 minarXiv:2606.10266express
The Quantum Ghost of the Pass
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HEP Phenomenology2026-05-242 minarXiv:2605.24891express
Ghost Bubbles Before the Big Phase Jump
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Quantum Physics2026-05-211 minarXiv:2605.21942express
How to Create the Perfect Single Photon
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Since time immemorial, physicists have dreamed of tunnels piercing the cosmos — wormholes, capable of connecting far-flung corners of the Universe in an instant.
Quantum Gases2026-04-302 minarXiv:2604.27489express
When the Obstacle Vanishes
A stone falls into a pond, and ripples spread across the water. But if the stone is very small and the water is not quite ordinary, the ripples pass right through it, as if it weren't there.
Atomic Physics2026-04-241 minarXiv:2604.22406express
Atom Traps: How to Fill Them to the Brim
An optical tweezer is a laser beam that holds an atom in place, much like fingers holding a pea. Arrays of these tweezers form the basis of future quantum computers. But there's a catch: not every tweezer catches an atom. Typically, only half of the traps get filled, and for molecules, even fewer. Empty spots break the whole setup.
Nuclear Theory2026-04-212 minarXiv:2604.18928express
Muon Catalysis: A Trampoline for Fusion
Fusion, the merging of a proton with a boron-11 nucleus, promises a near-perfect energy source: no dangerous neutron flux, just a stream of charged particles that can be directly converted into electric current. But there's a fundamental problem: the Coulomb barrier.
Galaxies2026-04-201 minarXiv:2604.17955express
Gas Jumps Over the Ring
A river flows toward a whirlpool, but a dam with a notch blocks the way. Most water piles up before the dam, but some, gaining height, leaps over it and falls straight into the funnel. So it is with gas in a galaxy: it streams toward the center but hits a ring of stars and gas, like a dam. Usually, everything stops there, swirling into a dense vortex.
General Relativity2026-03-231 minarXiv:2603.22516express
Ancient Black Holes Could Burst into White Holes
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Quantum Physics2026-03-081 minarXiv:2603.07538express
A Click Before Its Time
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Optics2026-03-071 minarXiv:2603.07196express
Ions Walk Through Walls
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Nuclear Experiment2026-01-141 minarXiv:2601.09458express
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Cosmology2026-01-081 minarXiv:2601.05235express
Dark Energy Controls the Weight of Dark Matter
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Nuclear Experiment2025-12-051 minarXiv:2512.06212express
Nuclear Fusion in Metals: How the Medium Helps Nuclei Fuse
For two atomic nuclei to fuse, they must overcome their fierce electric repulsion — like trying to bring two angry bulls together. Normally, only monstrous energy does the trick, as in stellar cores, where Hans Bethe explained fusion back in the 1930s.
Quantum Physics2025-10-251 minarXiv:2510.22394express
Quantum Engines Powered by a Look
In the quantum world, particles can walk through walls: this is quantum tunneling. If you place a detector right in the path of such a 'ghostly' passage, the moment of detection acts like a starting pistol: the particle gets a sharp kick and flies out of the barrier with excess energy, turning into a tiny engine.
Dance of the Octopus Electron: What Quantum Tunneling Says About the Nature of Reality
A tiny tungsten tip with a radius of less than a hundred nanometers is the perfect stage for watching a quantum performance. Apply an electric field of a few volts per nanometer, and electrons start flying out of the metal: that’s field emission.
Strongly Correlated2011-12-252 minarXiv:1112.5783express
The Magnetic Knot That Refuses to Come Undone
A crowd in a square. At first, everyone spins to their own rhythm, but suddenly the music changes, and they all start moving in sync, as one. That's roughly how electrons behave in some metals: they either cling to magnetic impurities or break away and form a collective order.