Dirac equation in the curved spacetime and generalized uncertainty principle: A fundamental quantum mechanical approach with energy-dependent potentials

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YEŞİLTAŞ Ö.

EUROPEAN PHYSICAL JOURNAL PLUS, cilt.134, sa.7, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 134 Sayı: 7
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1140/epjp/i2019-12694-x
  • Dergi Adı: EUROPEAN PHYSICAL JOURNAL PLUS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Gazi Üniversitesi Adresli: Evet

Özet

In this work, we have obtained the solutions of the (1 + 1)-dimensional Dirac equation on a gravitational background within the generalized uncertainty principle. We have shown that how minimal length parameters effect the Dirac particle in a spacetime described by conformally flat metric. Also, supersymmetric quantum mechanics is used both to factorize the Dirac Hamiltonians and obtain new metric functions. Finally, it is observed that the energy-dependent potentials may be extended to the energy-dependent metric functions.