1 Ocak 2018 Dergi makalesi Açık Erişim

Erman, Fatih; Gadella, Manuel; Uncu, Haydar

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/28907</identifier>
  <creators>
    <creator>
      <creatorName>Erman, Fatih</creatorName>
      <givenName>Fatih</givenName>
      <familyName>Erman</familyName>
      <affiliation>Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Gadella, Manuel</creatorName>
      <givenName>Manuel</givenName>
      <familyName>Gadella</familyName>
    </creator>
    <creator>
      <creatorName>Uncu, Haydar</creatorName>
      <givenName>Haydar</givenName>
      <familyName>Uncu</familyName>
      <affiliation>Adnan Menderes Univ, Dept Phys, TR-09100 Aydin, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>On Scattering From The One-Dimensional Multiple Dirac Delta Potentials</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2018</publicationYear>
  <dates>
    <date dateType="Issued">2018-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/28907</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1088/1361-6404/aaa8a3</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>
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  <descriptions>
    <description descriptionType="Abstract">In this paper, we propose a pedagogical presentation of the Lippmann-Schwinger equation as a powerful tool, so as to obtain important scattering information. In particular, we consider a one-dimensional system with a Schrodinger-type free Hamiltonian decorated with a sequence of N attractive Dirac delta interactions. We first write the Lippmann-Schwinger equation for the system and then solve it explicitly in terms of an N x N matrix. Then, we discuss the reflection and the transmission coefficients for an arbitrary number of centres and study the threshold anomaly for the N = 2 and N = 4 cases. We also study further features like the quantum metastable states and resonances, including their corresponding Gamow functions and virtual or antibound states. The use of the Lippmann-Schwinger equation simplifies our analysis enormously and gives exact results for an arbitrary number of Dirac delta potentials.</description>
  </descriptions>
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