Resonances and antibound states for the Poschl-Teller potential: Ladder operators and SUSY partners

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Cevik D., Gadella M., KURU Ş., Negro J.

PHYSICS LETTERS A, vol.380, no.18-19, pp.1600-1609, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 380 Issue: 18-19
  • Publication Date: 2016
  • Doi Number: 10.1016/j.physleta.2016.03.003
  • Journal Name: PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1600-1609
  • Keywords: Poschl-Teller potential, Factorization method, Ladder operators, Antibound and resonance states, DYNAMICAL ALGEBRAS, RANGE POTENTIALS, S-MATRIX, SPECTRUM, SCATTERING, POLES
  • Ankara University Affiliated: Yes

Abstract

We analyze the one dimensional scattering produced by all variations of the Poschl-Teller potential, i.e., potential well, low and high barriers. The transmission coefficients of Poschl-Teller well and low barrier potentials have an infinite number of simple poles corresponding to bound and antibound states. However, the Poschl-Teller high barrier potential shows an infinite number of resonance poles. We have constructed ladder operators connecting wave functions for bound and antibound states as well as for resonance states. Finally, using wave functions of these states, we provide some examples of supersymmetric partners of the Poschl-Teller Hamiltonian. (C) 2016 Elsevier B.V. All rights reserved.