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- Runge–Gross_theorem abstract "In quantum mechanics, specifically time-dependent density functional theory, the Runge–Gross theorem (RG theorem) shows that for a many-body system evolving from a given initial wavefunction, there exists a one-to-one mapping between the potential (or potentials) in which the system evolves and the density (or densities) of the system. The potentials under which the theorem holds are defined up to an additive purely time-dependent function: such functions only change the phase of the wavefunction and leave the density invariant. Most often the RG theorem is applied to molecular systems where the electronic density, ρ(r,t) changes in response to an external scalar potential, v(r,t), such as a time-varying electric field.The Runge–Gross theorem provides the formal foundation of time-dependent density functional theory. It shows that the density can be used as the fundamental variable in describing quantum many-body systems in place of the wavefunction, and that all properties of the system are functionals of the density.The theorem was published by Erich Runge and Eberhard K. U. Gross in 1984. As of January 2011, the original paper has been cited over 1,700 times.".
- Runge–Gross_theorem wikiPageID "21839925".
- Runge–Gross_theorem wikiPageLength "12428".
- Runge–Gross_theorem wikiPageOutDegree "32".
- Runge–Gross_theorem wikiPageRevisionID "671842907".
- Runge–Gross_theorem wikiPageWikiLink Anomalous_density.
- Runge–Gross_theorem wikiPageWikiLink Category:Density_functional_theory.
- Runge–Gross_theorem wikiPageWikiLink Category:Theorems_in_quantum_physics.
- Runge–Gross_theorem wikiPageWikiLink Continuity_equation.
- Runge–Gross_theorem wikiPageWikiLink Density_matrix.
- Runge–Gross_theorem wikiPageWikiLink Eberhard_K._U._Gross.
- Runge–Gross_theorem wikiPageWikiLink Electronic_density.
- Runge–Gross_theorem wikiPageWikiLink Erich_Runge.
- Runge–Gross_theorem wikiPageWikiLink Functional_(mathematics).
- Runge–Gross_theorem wikiPageWikiLink Heisenberg_picture.
- Runge–Gross_theorem wikiPageWikiLink Injective_function.
- Runge–Gross_theorem wikiPageWikiLink Liouvilles_equation.
- Runge–Gross_theorem wikiPageWikiLink Many-body_problem.
- Runge–Gross_theorem wikiPageWikiLink Molecular_Hamiltonian.
- Runge–Gross_theorem wikiPageWikiLink Pairing_potential.
- Runge–Gross_theorem wikiPageWikiLink Phase_factor.
- Runge–Gross_theorem wikiPageWikiLink Probability_current.
- Runge–Gross_theorem wikiPageWikiLink Quantum_mechanics.
- Runge–Gross_theorem wikiPageWikiLink Reductio_ad_absurdum.
- Runge–Gross_theorem wikiPageWikiLink Scalar_field.
- Runge–Gross_theorem wikiPageWikiLink Scalar_potential.
- Runge–Gross_theorem wikiPageWikiLink Schrödinger_equation.
- Runge–Gross_theorem wikiPageWikiLink Spin_(physics).
- Runge–Gross_theorem wikiPageWikiLink Statistical_ensemble_(mathematical_physics).
- Runge–Gross_theorem wikiPageWikiLink Superconductivity.
- Runge–Gross_theorem wikiPageWikiLink Taylor_series.
- Runge–Gross_theorem wikiPageWikiLink Time-dependent_density_functional_theory.
- Runge–Gross_theorem wikiPageWikiLink Vector_potential.
- Runge–Gross_theorem wikiPageWikiLink Wave_function.
- Runge–Gross_theorem wikiPageWikiLinkText "'''Runge-Gross''' ('''RG''') '''theorem'''".
- Runge–Gross_theorem wikiPageWikiLinkText "Runge–Gross theorem".
- Runge–Gross_theorem wikiPageUsesTemplate Template:Reflist.
- Runge–Gross_theorem subject Category:Density_functional_theory.
- Runge–Gross_theorem subject Category:Theorems_in_quantum_physics.
- Runge–Gross_theorem type Mechanic.
- Runge–Gross_theorem type Method.
- Runge–Gross_theorem type Redirect.
- Runge–Gross_theorem type Theorem.
- Runge–Gross_theorem comment "In quantum mechanics, specifically time-dependent density functional theory, the Runge–Gross theorem (RG theorem) shows that for a many-body system evolving from a given initial wavefunction, there exists a one-to-one mapping between the potential (or potentials) in which the system evolves and the density (or densities) of the system.".
- Runge–Gross_theorem label "Runge–Gross theorem".
- Runge–Gross_theorem sameAs Q1635026.
- Runge–Gross_theorem sameAs Runge-Gross-Theorem.
- Runge–Gross_theorem sameAs m.05p3y2g.
- Runge–Gross_theorem sameAs Q1635026.
- Runge–Gross_theorem wasDerivedFrom Runge–Gross_theorem?oldid=671842907.
- Runge–Gross_theorem isPrimaryTopicOf Runge–Gross_theorem.