{
  "id": "1001.5120",
  "version": "v1",
  "published": "2010-01-28T08:18:33.000Z",
  "updated": "2010-01-28T08:18:33.000Z",
  "title": "Asymptotics of eigenvalues of non-self adjoint Schrödinger operators on a half-line",
  "authors": [
    "Kwang C. Shin"
  ],
  "comment": "No figure. To appear in CMFT",
  "journal": "CMFT 10 (2010) 111-133.",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "math.SP",
    "quant-ph"
  ],
  "abstract": "We study the eigenvalues of the non-self adjoint problem $-y^{\\prime\\prime}+V(x)y=E y$ on the half-line $0\\leq x<+\\infty$ under the Robin boundary condition at $x=0$, where $V$ is a monic polynomial of degree $\\geq 3$. We obtain a Bohr-Sommerfeld-like asymptotic formula for $E_n$ that depends on the boundary conditions. Consequently, we solve certain inverse spectral problems, recovering the potential $V$ and boundary condition from the first $(m+2)$ terms of the asymptotic formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-28T08:18:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34L20",
      "34L40"
    ],
    "keywords": [
      "non-self adjoint schrödinger operators",
      "eigenvalues",
      "robin boundary condition",
      "non-self adjoint problem",
      "inverse spectral problems"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.5120S"
    }
  }
}