{
  "id": "2307.14727",
  "version": "v1",
  "published": "2023-07-27T09:31:16.000Z",
  "updated": "2023-07-27T09:31:16.000Z",
  "title": "Self-adjointness and domain of generalized spin-boson models with mild ultraviolet divergences",
  "authors": [
    "Sascha Lill",
    "Davide Lonigro"
  ],
  "comment": "20 pages",
  "categories": [
    "math-ph",
    "math.FA",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We provide a rigorous construction of a large class of generalized spin-boson models with ultraviolet-divergent form factors. This class comprises various models of many possibly non-identical atoms with arbitrary but finite numbers of levels, interacting with a boson field. Ultraviolet divergences are assumed to be mild, such that no self-energy renormalization is necessary. Our construction is based on recent results by A. Posilicano, which also allow us to state an explicit formula for the domain of self-adjointness for our Hamiltonians.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-27T09:31:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46N50",
      "47A10",
      "47B25",
      "81Q10",
      "81T16"
    ],
    "keywords": [
      "generalized spin-boson models",
      "mild ultraviolet divergences",
      "self-adjointness",
      "ultraviolet-divergent form factors",
      "construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}