Redundant poles of the S-matrix for the one-dimensional Morse potential

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Gadella M., Hernandez-Ortega A., Kuru Ş., Negro J.

European Physical Journal Plus, cilt.135, sa.10, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 135 Sayı: 10
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1140/epjp/s13360-020-00833-7
  • Dergi Adı: European Physical Journal Plus
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC
  • Ankara Üniversitesi Adresli: Evet

Özet

© 2020, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.We analyze the structure of the scattering matrix, S(k), for the one-dimensional Morse potential. We show that, in addition to a finite number of bound state poles and an infinite number of antibound poles, there exist infinite redundant poles, on the positive imaginary axis, which do not correspond to either of the other types. We explain in detail the role of these redundant poles, in particular when they coincide with the bound poles. This can be solved analytically and exactly. In addition, we obtain wave functions for all these poles and ladder operators connecting them.