Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics
DOI10.1353/ajm.2011.0004zbMath1208.81080arXiv0808.0505OpenAlexW2052350718MaRDI QIDQ3078565
Gigliola Staffilani, Kay Kirkpatrick, Benjamin Schlein
Publication date: 28 February 2011
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0808.0505
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70) Equations of motion in general relativity and gravitational theory (83C10) Gravitational waves (83C35)
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