1 Ocak 2018 Dergi makalesi Açık Erişim

Erman, Fatih; Gadella, Manuel; Uncu, Haydar

Citation Style Language JSON

{
  "DOI": "10.1088/1361-6404/aaa8a3", 
  "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.", 
  "author": [
    {
      "family": "Erman", 
      "given": " Fatih"
    }, 
    {
      "family": "Gadella", 
      "given": " Manuel"
    }, 
    {
      "family": "Uncu", 
      "given": " Haydar"
    }
  ], 
  "container_title": "EUROPEAN JOURNAL OF PHYSICS", 
  "id": "28907", 
  "issue": "3", 
  "issued": {
    "date-parts": [
      [
        2018, 
        1, 
        1
      ]
    ]
  }, 
  "title": "On scattering from the one-dimensional multiple Dirac delta potentials", 
  "type": "article-journal", 
  "volume": "39"
}