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Schrödinger-Poisson equation

(Schrödinger-Newton equation)
(Schrödinger equation including a term for gravity)

The Schrödinger-Poisson equation (aka Schrödinger-Newton equation) is the Schrödinger equation (a wave equation describing the quantum-mechanical characteristics of a particle or interaction of particles) with an additional term for gravity. The latter term represents the gravitational field in a the manner defined by a Poisson equation, a type of equation capable of describing the field associated with an inverse square law. The Schrödinger-Poisson equation can be of use in cases where both quantum effects and gravitation are significant to the phenomenon of interest, such as the fuzzy dark matter (FDM) model.


(physics,gravity,quantum mechanics)
Further reading:
http://en.wikipedia.org/wiki/Schrödinger-Newton_equation
http://en.wikipedia.org/wiki/Schrödinger_equation
http://en.wikipedia.org/wiki/Poisson's_equation

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