{
  "id": "2106.10231",
  "version": "v1",
  "published": "2021-06-17T13:05:33.000Z",
  "updated": "2021-06-17T13:05:33.000Z",
  "title": "Variational approach to the Schrödinger equation with a delta-function potential",
  "authors": [
    "Francisco M. Fernández"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "We obtain accurate eigenvalues of the one-dimensional Schr\\\"odinger equation with a Hamiltonian of the form $H_{g}=H+g\\delta (x)$, where $\\delta (x)$ is the Dirac delta function. We show that the well known Rayleigh-Ritz variational method is a suitable approach provided that the basis set takes into account the effect of the Dirac delta on the wavefunction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-17T13:05:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "schrödinger equation",
      "delta-function potential",
      "variational approach",
      "dirac delta function",
      "rayleigh-ritz variational method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}