{
  "id": "1908.01921",
  "version": "v1",
  "published": "2019-08-06T01:23:42.000Z",
  "updated": "2019-08-06T01:23:42.000Z",
  "title": "Nonlinear Schrödinger Equations for Bose-Einstein Condensates",
  "authors": [
    "Luigi Galati",
    "Shijun Zheng"
  ],
  "comment": "17 pages",
  "journal": "Nonlinear and Modern Mathematical Physics: Proceedings of the 2nd International Workshop. American Institute of Physics Conference Proceedings, Volume 1562 (2013), Issue 1",
  "doi": "10.1063/1.4828682",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Gross-Pitaevskii equation, or more generally the nonlinear Schr\\\"odinger equation, models the Bose-Einstein condensates in a macroscopic gaseous superfluid wave-matter state in ultra-cold temperature. We provide analytical study of the NLS with $L^2$ initial data in order to understand propagation of the defocusing and focusing waves for the BEC mechanism in the presence of electromagnetic fields. Numerical simulations are performed for the two-dimensional GPE with anisotropic quadratic potentials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-06T01:23:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "65M70"
    ],
    "keywords": [
      "nonlinear schrödinger equations",
      "bose-einstein condensates",
      "macroscopic gaseous superfluid wave-matter state",
      "anisotropic quadratic potentials",
      "ultra-cold temperature"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}