The Schrödinger–Newton equation as a non-relativistic limit of self-gravitating Klein–Gordon and Dirac fields

By D. Giulini, André Großardt. 2012

160 citations recorded by the source corpus.

In this paper, we show that the Schrödinger–Newton equation for spherically symmetric gravitational fields can be derived in a WKB-like expansion in 1/c from the Einstein–Klein–Gordon and Einstein–Dirac systems.

Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/283b2fcde7e7ca5c93c424038afb831bcf07f8ac

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In Applied Mathematics

1. Dongdong Qin
2. Vicentiu D. Rădulescu
3. Xianhua Tang
4. Dušan D. Repovš
5. Binlin Zhang
6. Zhijun Zhang
7. Anouar Bahrouni
8. Sitong Chen

In Atomic and Molecular Physics, and Optics

1. Xianhua Tang
2. Vicentiu D. Rădulescu
3. Dongdong Qin

In Statistical and Nonlinear Physics

1. Xianhua Tang
2. Vicentiu D. Rădulescu
3. Dongdong Qin

Citations in the corpus

• Ground states and geometrically distinct solutions for periodic Choquard-Pekar equations (2020, methodology): “We refer for details to Elgart and Schlein [18], Giulini and Großardt [23], Jones [24], and Schunck and Mielke [40].”