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Coulomb potential

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Summary

The electrostatic interaction potential energy V(r)=q1q2/(4πε0r)V(r)=q_1q_2/(4\pi\varepsilon_0 r) used in nonrelativistic charged-particle Hamiltonians.

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Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Coulomb lawCoulomb potential

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

Authored explanation

The Coulomb force derives from the 1/r1/r electrostatic potential.

How to interpret this relation type

Reinterpret an object, pass to an equivalent presentation, or relate canonically corresponding structures; the carrier may change.

Relation sources

Quantum electrodynamicsCoulomb potential

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

Authored explanation

The Coulomb potential is the leading low-energy static interaction obtained from QED between charged sources.

How to interpret this relation type

The target retains the degrees of freedom and interactions relevant below a stated scale or within a stated regime, while higher-energy or unresolved degrees of freedom from the source are integrated out, coarse-grained, or encoded in effective couplings.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Coulomb potentialDirac–Coulomb Hamiltonian

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

Authored explanation

The many-electron Dirac–Coulomb model retains pairwise Coulomb interaction.

How to interpret this relation type

The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.

Relation sources

Coulomb potentialElectron–electron Coulomb interaction

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

Authored explanation

The electron–electron term is pairwise Coulomb repulsion in the leading nonrelativistic Hamiltonian.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources

Coulomb potentialElectron–nucleus Coulomb interaction

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

Authored explanation

The electron–nucleus term is a Coulomb interaction with the nuclear charge distribution.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources

Coulomb potentialNonrelativistic Coulomb Hamiltonian

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

Authored explanation

Electron–nucleus attraction and electron–electron repulsion enter as Coulomb potentials.

How to interpret this relation type

The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.

Relation sources