{
  "id": "1101.3209",
  "version": "v1",
  "published": "2011-01-17T13:47:38.000Z",
  "updated": "2011-01-17T13:47:38.000Z",
  "title": "Wronskian method for bound states",
  "authors": [
    "Francisco M. Fernández"
  ],
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP",
    "physics.ed-ph"
  ],
  "abstract": "We propose a simple and straightforward method based on Wronskians for the calculation of bound--state energies and wavefunctions of one--dimensional quantum--mechanical problems. We explicitly discuss the asymptotic behavior of the wavefunction and show that the allowed energies make the divergent part vanish. As illustrative examples we consider an exactly solvable model and the Gaussian potential well.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-17T13:47:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bound states",
      "wronskian method",
      "gaussian potential",
      "one-dimensional quantum-mechanical problems",
      "bound-state energies"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0143-0807/32/3/008",
      "journal": "European Journal of Physics",
      "year": 2011,
      "month": "May",
      "volume": 32,
      "number": 3,
      "pages": 723
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011EJPh...32..723F"
    }
  }
}