P,T, and PT-symmetries of impulsive Dirac systems

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Bairamov E., Solmaz Ş., Cebesoy S.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.49, no.4, pp.1234-1244, 2020 (SCI-Expanded, Scopus, TRDizin)

  • Publication Type: Article / Article
  • Volume: 49 Issue: 4
  • Publication Date: 2020
  • Doi Number: 10.15672/hujms.542995
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1234-1244
  • Keywords: impulsive operators, bound states, spectral singularities, PT-symmetry, EIGENFUNCTION EXPANSION, SPECTRAL SINGULARITIES, SCHRODINGER OPERATOR, QUADRATIC PENCIL
  • Open Archive Collection: AVESIS Open Access Collection
  • TED University Affiliated: Yes

Abstract

This article is concerned with locations of bound states and spectral singularities of an impulsive Dirac system. By using a transfer matrix, we obtain some spectral properties of this impulsive system. We also examine some special cases, where the impulsive condition at the origin has P, T, and PT-symmetry.