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- Schrödinger–Newton_equation abstract "The Schrödinger–Newton equation, sometimes referred to as the Newton–Schrödinger or Schrödinger–Poisson equation, is a nonlinear modification of the Schrödinger equation with a Newtonian gravitational potential, where the gravitational potential emerges from the treatment of the wave function as a mass density. It can be written either as a single integro-differential equation or as a coupled system of a Schrödinger and a Poisson equation. In the latter case it is also referred to in the plural form.The Schrödinger–Newton equation was first considered by Ruffini and Bonazzola in connection with self-gravitating boson stars. In this context of classical general relativity it appears as the non-relativistic limit of either the Klein–Gordon equation or the Dirac equation in a curved space-time together with the Einstein field equations.Later on it was proposed as a model to explain the quantum wave function collapse by Diósi and Penrose, from whom the name \"Schrödinger–Newton equation\" originates. In this context, matter has quantum properties while gravity remains classical even at the fundamental level. The Schrödinger–Newton equation was therefore also suggested as a way to test the necessity of quantum gravity.In a third context, the Schrödinger–Newton equation appears as a Hartree approximation for the mutual gravitational interaction in a system of a large number of particles. In this context, a corresponding equation for the electromagnetic Coulomb interaction was suggested by Philippe Choquard at the 1976 Symposium on Coulomb Systems in Lausanne to describe one-component plasmas. Elliott H. Lieb provided the proof for the existence and uniqueness of a stationary ground state and referred to the equation as the Choquard equation.".
- Schrödinger–Newton_equation wikiPageID "1905371".
- Schrödinger–Newton_equation wikiPageLength "21991".
- Schrödinger–Newton_equation wikiPageOutDegree "37".
- Schrödinger–Newton_equation wikiPageRevisionID "698303406".
- Schrödinger–Newton_equation wikiPageWikiLink Atomic_mass_unit.
- Schrödinger–Newton_equation wikiPageWikiLink Born_rule.
- Schrödinger–Newton_equation wikiPageWikiLink Born–Oppenheimer_approximation.
- Schrödinger–Newton_equation wikiPageWikiLink Category:Equations.
- Schrödinger–Newton_equation wikiPageWikiLink Category:Gravitation.
- Schrödinger–Newton_equation wikiPageWikiLink Category:Nonlinear_partial_differential_equations.
- Schrödinger–Newton_equation wikiPageWikiLink Category:Quantum_gravity.
- Schrödinger–Newton_equation wikiPageWikiLink Category:Quantum_mechanics.
- Schrödinger–Newton_equation wikiPageWikiLink Category:Schrödinger_equation.
- Schrödinger–Newton_equation wikiPageWikiLink Coulombs_law.
- Schrödinger–Newton_equation wikiPageWikiLink Dirac_equation.
- Schrödinger–Newton_equation wikiPageWikiLink Einstein_field_equations.
- Schrödinger–Newton_equation wikiPageWikiLink Elliott_H._Lieb.
- Schrödinger–Newton_equation wikiPageWikiLink Exotic_star.
- Schrödinger–Newton_equation wikiPageWikiLink Galilean_invariance.
- Schrödinger–Newton_equation wikiPageWikiLink General_relativity.
- Schrödinger–Newton_equation wikiPageWikiLink Gravitational_potential.
- Schrödinger–Newton_equation wikiPageWikiLink Hartree_equation.
- Schrödinger–Newton_equation wikiPageWikiLink Interferometry.
- Schrödinger–Newton_equation wikiPageWikiLink Klein–Gordon_equation.
- Schrödinger–Newton_equation wikiPageWikiLink Marginal_distribution.
- Schrödinger–Newton_equation wikiPageWikiLink Measurement_problem.
- Schrödinger–Newton_equation wikiPageWikiLink Newtons_law_of_universal_gravitation.
- Schrödinger–Newton_equation wikiPageWikiLink Nonlinear_Schrödinger_equation.
- Schrödinger–Newton_equation wikiPageWikiLink Nonlinear_system.
- Schrödinger–Newton_equation wikiPageWikiLink Normal_distribution.
- Schrödinger–Newton_equation wikiPageWikiLink Penrose_interpretation.
- Schrödinger–Newton_equation wikiPageWikiLink Quantum_decoherence.
- Schrödinger–Newton_equation wikiPageWikiLink Quantum_gravity.
- Schrödinger–Newton_equation wikiPageWikiLink Roger_Penrose.
- Schrödinger–Newton_equation wikiPageWikiLink Schrödinger_equation.
- Schrödinger–Newton_equation wikiPageWikiLink Semiclassical_gravity.
- Schrödinger–Newton_equation wikiPageWikiLink Wave_function.
- Schrödinger–Newton_equation wikiPageWikiLink Wave_function_collapse.
- Schrödinger–Newton_equation wikiPageWikiLinkText "Schrödinger–Newton equation".
- Schrödinger–Newton_equation wikiPageUsesTemplate Template:Isaac_Newton.
- Schrödinger–Newton_equation wikiPageUsesTemplate Template:Reflist.
- Schrödinger–Newton_equation subject Category:Equations.
- Schrödinger–Newton_equation subject Category:Gravitation.
- Schrödinger–Newton_equation subject Category:Nonlinear_partial_differential_equations.
- Schrödinger–Newton_equation subject Category:Quantum_gravity.
- Schrödinger–Newton_equation subject Category:Quantum_mechanics.
- Schrödinger–Newton_equation subject Category:Schrödinger_equation.
- Schrödinger–Newton_equation hypernym Modification.
- Schrödinger–Newton_equation type VideoGame.
- Schrödinger–Newton_equation type Diacritic.
- Schrödinger–Newton_equation type Redirect.
- Schrödinger–Newton_equation comment "The Schrödinger–Newton equation, sometimes referred to as the Newton–Schrödinger or Schrödinger–Poisson equation, is a nonlinear modification of the Schrödinger equation with a Newtonian gravitational potential, where the gravitational potential emerges from the treatment of the wave function as a mass density. It can be written either as a single integro-differential equation or as a coupled system of a Schrödinger and a Poisson equation.".
- Schrödinger–Newton_equation label "Schrödinger–Newton equation".
- Schrödinger–Newton_equation sameAs Q7432925.
- Schrödinger–Newton_equation sameAs معادلة_شرودنغر-نيوتن.
- Schrödinger–Newton_equation sameAs Schrödinger-Newton-Gleichung.
- Schrödinger–Newton_equation sameAs m.065505.
- Schrödinger–Newton_equation sameAs Рівняння_Шредінгера_—_Ньютона.
- Schrödinger–Newton_equation sameAs Q7432925.
- Schrödinger–Newton_equation wasDerivedFrom Schrödinger–Newton_equation?oldid=698303406.
- Schrödinger–Newton_equation isPrimaryTopicOf Schrödinger–Newton_equation.