Dirac-like Hamiltonians associated to Schrodinger factorizations

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Kizilirmak D. D., KURU Ş., Negro J.

EUROPEAN PHYSICAL JOURNAL PLUS, cilt.136, sa.6, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 136 Sayı: 6
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1140/epjp/s13360-021-01642-2
  • Dergi Adı: EUROPEAN PHYSICAL JOURNAL PLUS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC
  • Ankara Üniversitesi Adresli: Evet

Özet

In this work, we have extended the factorization method of scalar shape-invariant Schrodinger Hamiltonians to a class of Dirac-like matrix Hamiltonians. The intertwining operators of the Schrodinger equations have been implemented in the Dirac-like shape invariant equations. We have considered also another kind of anti-intertwining operators changing the sign of energy. The Dirac-like Hamiltonians can be obtained from reduction of higher dimensional spin systems. Two examples have beenworked out, one obtained from the sphere S-2 and a second one, having a non-Hermitian character, from the hyperbolic space H-2.