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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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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/97401</identifier>
  <creators>
    <creator>
      <creatorName>Demiralp, E</creatorName>
      <givenName>E</givenName>
      <familyName>Demiralp</familyName>
    </creator>
    <creator>
      <creatorName>Beker, H</creatorName>
      <givenName>H</givenName>
      <familyName>Beker</familyName>
    </creator>
  </creators>
  <titles>
    <title>Properties Of Bound States Of The Schrodinger Equation With Attractive Dirac Delta Potentials</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2003</publicationYear>
  <dates>
    <date dateType="Issued">2003-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/97401</alternateIdentifier>
  </alternateIdentifiers>
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    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.81043/aperta.97400</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.81043/aperta.97401</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="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) &amp;gt; 0, r(1) &amp;lt; r(2) &amp;lt; (...)  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.</description>
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