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Properties of bound states of the Schrodinger equation with attractive Dirac delta potentials

Demiralp, E; Beker, H


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{
  "URL": "https://aperta.ulakbim.gov.tr/record/97401", 
  "abstract": "We have studied bound states of the Schrodinger equation for an attractive potential with any finite number (P) of Dirac delta-functions in R-n where n = 1, 2, 3..... The potential is radially symmetric for n greater than or equal to 2 and is given as V(r) = -(h2)/(2m) Sigma(i=1)(P) sigma(i)delta(r - r(i)) where sigma(i) > 0, r(1) < r(2) < (...)  2l+n-2 and none otherwise. Wehave also proven that there are at most P positive roots for the equation X-22(k) = 0 where X = ((X21) (X11) (X22) (X12)) = MpMp-1...M-1 and M-i is an element of SL (2, R) are the particular where X = G21 X 22 transfer matrices mentioned above.", 
  "author": [
    {
      "family": "Demiralp", 
      "given": " E"
    }, 
    {
      "family": "Beker", 
      "given": " H"
    }
  ], 
  "container_title": "JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL", 
  "id": "97401", 
  "issue": "26", 
  "issued": {
    "date-parts": [
      [
        2003, 
        1, 
        1
      ]
    ]
  }, 
  "page": "7449-7459", 
  "title": "Properties of bound states of the Schrodinger equation with attractive Dirac delta potentials", 
  "type": "article-journal", 
  "volume": "36"
}
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