{
  "id": "quant-ph/0512046",
  "version": "v1",
  "published": "2005-12-06T16:31:54.000Z",
  "updated": "2005-12-06T16:31:54.000Z",
  "title": "Hamiltonians with position-dependent mass, deformations and supersymmetry",
  "authors": [
    "C. Quesne",
    "B. Bagchi",
    "A. Banerjee",
    "V. M. Tkachuk"
  ],
  "comment": "11 pages, no figure, presented at IV International Symposium Quantum Theory and Symmetries, Varna, Bulgaria, 15-21 August 2005",
  "categories": [
    "quant-ph"
  ],
  "abstract": "A new method for generating exactly solvable Schr\\\"odinger equations with a position-dependent mass is proposed. It is based on a relation with some deformed Schr\\\"odinger equations, which can be dealt with by using a supersymmetric quantum mechanical approach combined with a deformed shape-invariance condition. The solvability of the latter is shown to impose the form of both the deformed superpotential and the position-dependent mass. The conditions for the existence of bound states are determined. A lot of examples are provided and the corresponding bound-state spectrum and wavefunctions are reviewed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-06T16:31:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "position-dependent mass",
      "hamiltonians",
      "deformations",
      "supersymmetry",
      "supersymmetric quantum mechanical approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005quant.ph.12046Q"
    }
  }
}