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Quantum tunneling

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Summary

The nonzero transmission of a quantum state through a classically forbidden barrier, with probability controlled by the Hamiltonian, barrier profile, state energy, and approximation regime.

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Quantum mechanicsQuantum tunneling

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Quantum mechanics assigns amplitudes across potential barriers rather than enforcing a classical turning point; observable tunneling rates depend on the system, environment, and boundary conditions.

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A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.

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Schrödinger equationQuantum tunneling

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Solving the Schrödinger equation across a barrier gives reflected and transmitted amplitudes, with semiclassical formulas valid only when their stated action and smoothness conditions hold.

How to interpret this relation type

A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.

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