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, cilt.49, sa.4, ss.1234-1244, 2020 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.15672/hujms.542995
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1234-1244
  • Anahtar Kelimeler: impulsive operators, bound states, spectral singularities, PT-symmetry, EIGENFUNCTION EXPANSION, SPECTRAL SINGULARITIES, SCHRODINGER OPERATOR, QUADRATIC PENCIL
  • TED Üniversitesi Adresli: Evet

Özet

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.