{
  "id": "1312.3688",
  "version": "v1",
  "published": "2013-12-13T02:01:23.000Z",
  "updated": "2013-12-13T02:01:23.000Z",
  "title": "Newton's law for a trajectory of concentration of solutions to nonlinear Schrodinger equation",
  "authors": [
    "Anatoli Babin",
    "Alexander Figotin"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "One of important problems in mathematical physics concerns derivation of point dynamics from field equations. The most common approach to this problem is based on WKB method. Here we describe a different method based on the concept of trajectory of concentration. When we applied this method to nonlinear Klein-Gordon equation, we derived relativistic Newton's law and Einstein's formula for inertial mass. Here we apply the same approach to nonlinear Schrodinger equation and derive non-relativistic Newton's law for the trajectory of concentration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-13T02:01:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35Q60",
      "35Q70",
      "70S05",
      "78A35",
      "35Q55",
      "35Q60",
      "35Q70",
      "70S05",
      "78A35",
      "35Q55",
      "35Q60",
      "35Q70",
      "70S05",
      "78A35"
    ],
    "keywords": [
      "nonlinear schrodinger equation",
      "concentration",
      "trajectory",
      "derive non-relativistic newtons law",
      "derived relativistic newtons law"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.3688B"
    }
  }
}