{
  "id": "math/0609649",
  "version": "v1",
  "published": "2006-09-22T17:25:35.000Z",
  "updated": "2006-09-22T17:25:35.000Z",
  "title": "Title Scattering of Solitons for Schrödinger Equation Coupled to a Particle",
  "authors": [
    "Alexander Komech",
    "Elena Kopylova"
  ],
  "comment": "32 pages",
  "journal": "Russian J. Math. Phys. 13 (2006), no. 2, 158-187",
  "doi": "10.1134/S106192080602004X",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We establish soliton-like asymptotics for finite energy solutions to the Schr\\\"odinger equation coupled to a nonrelativistic classical particle. Any solution with initial state close to the solitary manifold, converges to a sum of traveling wave and outgoing free wave. The convergence holds in global energy norm. The proof uses spectral theory and the symplectic projection onto solitary manifold in the Hilbert phase space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-22T17:25:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B41"
    ],
    "keywords": [
      "schrödinger equation",
      "title scattering",
      "solitary manifold",
      "hilbert phase space",
      "finite energy solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Russian Journal of Mathematical Physics",
      "year": 2006,
      "month": "Apr",
      "volume": 13,
      "number": 2,
      "pages": 158
    },
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006RJMP...13..158K"
    }
  }
}