SUPERSYMMETRIC QUANTUM MECHANICS AND EUCLIDEAN-DIRAC OPERATOR WITH COMPLEXIFIED QUATERNIONS

TANIŞLI M., KANSU M. E., DEMİR S.

MODERN PHYSICS LETTERS A, cilt.28, sa.8, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 8
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1142/s0217732313500260
  • Dergi Adı: MODERN PHYSICS LETTERS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Complexified quaternion, supersymmetric quantum mechanics, Dirac operator, Dirac equation, REFORMULATION, TIME, TRANSFORMATION, EQUATIONS, MEDIA, FIELD
  • Anadolu Üniversitesi Adresli: Evet

Özet

We propose an alternative formulation of the supersymmetric quantum mechanics and Euclidean Dirac and Dirac-Yang-Mills (DYM) operators in terms of complexified quaternions. 4 x 4 matrix representations of the complexified quaternions are used to express the Euclidean-Dirac operator and Yang-Mills gauge field.