{
  "id": "1604.06693",
  "version": "v1",
  "published": "2016-04-22T14:57:37.000Z",
  "updated": "2016-04-22T14:57:37.000Z",
  "title": "On a two-particle bound system on the half-line",
  "authors": [
    "Joachim Kerner",
    "Tobias Mühlenbruch"
  ],
  "categories": [
    "math-ph",
    "cond-mat.mes-hall",
    "cond-mat.supr-con",
    "math.MP",
    "math.SP",
    "quant-ph"
  ],
  "abstract": "In this paper we provide an extension of the model discussed in [arXiv:1504.08283] describing two singularly interacting particles on the half-line. In this model, the particles are interacting only whenever at least one particle is situated at the origin. Stimulated by [arXiv:1503.08814] we then provide a generalisation of this model in order to include additional interactions between the particles leading to a molecular-like state. We give a precise mathematical formulation of the Hamiltonian of the system and perform spectral analysis. In particular, we are interested in the effect of the singular two-particle interactions onto the molecule.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-22T14:57:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q35",
      "81Q80",
      "81Q10",
      "82D55",
      "82D77",
      "35J25"
    ],
    "keywords": [
      "two-particle bound system",
      "singular two-particle interactions",
      "perform spectral analysis",
      "precise mathematical formulation",
      "additional interactions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160406693K"
    }
  }
}