1 Ocak 2018 Dergi makalesi Açık Erişim

Erman, Fatih; Gadella, Manuel; Uncu, Haydar

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{
  "@context": "https://schema.org/", 
  "@id": 28907, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey", 
      "name": "Erman, Fatih"
    }, 
    {
      "@type": "Person", 
      "name": "Gadella, Manuel"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Adnan Menderes Univ, Dept Phys, TR-09100 Aydin, Turkey", 
      "name": "Uncu, Haydar"
    }
  ], 
  "datePublished": "2018-01-01", 
  "description": "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.", 
  "headline": "On scattering from the one-dimensional multiple Dirac delta potentials", 
  "identifier": 28907, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "On scattering from the one-dimensional multiple Dirac delta potentials", 
  "url": "https://aperta.ulakbim.gov.tr/record/28907"
}