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In quantum electrodynamics (QED), the quantum tunneling effect refers to the phenomenon where a particle can penetrate through a potential barrier even though it does not possess sufficient classical energy to surmount the barrier.

According to classical physics, a particle with insufficient energy would be unable to cross a potential barrier, as it would be reflected back. However, in the realm of quantum mechanics, particles exhibit wave-particle duality. This means that particles can also be described as waves, and their behavior is governed by the laws of quantum mechanics.

In QED, particles, such as electrons, are described by wavefunctions that evolve over time. When encountering a potential barrier, the wavefunction of the particle extends into the classically forbidden region, where the particle's energy is less than the barrier's height. Although the probability of finding the particle in the forbidden region is low, it is not zero.

The wavefunction's behavior in the forbidden region is governed by the Schrödinger equation, which allows for non-zero probabilities of finding the particle on the other side of the barrier. This phenomenon is known as quantum tunneling. The particle effectively "tunnels" through the barrier, appearing on the other side even though it does not possess sufficient energy to surmount the barrier classically.

Quantum tunneling has significant implications in various physical systems, such as electron tunneling in solid-state devices, alpha decay in nuclear physics, and the tunneling of photons in optical devices. It is a fundamental aspect of quantum mechanics and is described within the framework of QED.

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