1 Ocak 2018 Dergi makalesi Açık Erişim

Erman, Fatih; Gadella, Manuel; Uncu, Haydar

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        "affiliation": "Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey", 
        "name": "Erman, Fatih"
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      {
        "name": "Gadella, Manuel"
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      {
        "affiliation": "Adnan Menderes Univ, Dept Phys, TR-09100 Aydin, Turkey", 
        "name": "Uncu, Haydar"
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    "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.", 
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    "journal": {
      "issue": "3", 
      "title": "EUROPEAN JOURNAL OF PHYSICS", 
      "volume": "39"
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    "publication_date": "2018-01-01", 
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    "title": "On scattering from the one-dimensional multiple Dirac delta potentials"
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