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The Schrödinger many-body Hamiltonian with kinetic energies and instantaneous Coulomb interactions among nuclei and electrons.
wp-physics-atomic_hamiltoniannist-atomic-spectroscopytong-quantumEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The Coulomb Hamiltonian is the leading nonrelativistic, instantaneous-interaction model when transverse-photon, relativistic, radiative, and finite-size effects are below the required accuracy. It may retain finite nuclear masses and recoil through the nuclear kinetic terms and reduced-mass separation.
The target is recovered from the source either in a stated mathematical or asymptotic limit, or through a quantitatively controlled approximation with identified small parameters or omitted terms. The edge label and detail must state which case applies and its regime of validity.
wp-physics-atomic_hamiltoniannist-atomic-spectroscopyThis is an authored directed relation from the source endpoint to the target endpoint.
Electron–nucleus attraction and electron–electron repulsion enter as Coulomb potentials.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-atomic_hamiltoniannist-atomic-spectroscopywp-physics-coulomb_potentialtong-emThis is an authored directed relation from the source endpoint to the target endpoint.
Pairwise electron–electron Coulomb repulsion is an explicit term of the leading many-electron Hamiltonian.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-electron_electron_coulomb_interactionnist-atomic-spectroscopyThis is an authored directed relation from the source endpoint to the target endpoint.
Electron–nucleus Coulomb attraction, using a point or finite charge distribution as appropriate, is the principal binding term of the leading atomic Hamiltonian.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-electron_nucleus_coulomb_interactionnist-atomic-spectroscopyThis is an authored directed relation from the source endpoint to the target endpoint.
The Coulomb Hamiltonian is the standard nonrelativistic quantum model of electrons and nuclei.
A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.
wp-physics-atomic_hamiltoniannist-atomic-spectroscopywp-physics-quantum_mechanicsnlab-physics-quantum_mechanicsEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Translation invariance permits separation of overall center-of-mass motion from internal coordinates.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-physics-center_of_mass_separationnist-atomic-spectroscopywp-physics-atomic_hamiltonian