SUPERSYMMETRIC QUANTUM MECHANICS AND EUCLIDEAN-DIRAC OPERATOR WITH COMPLEXIFIED QUATERNIONS

TANIŞLI M., KANSU M. E., DEMİR S.

MODERN PHYSICS LETTERS A, vol.28, no.8, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 8
  • Publication Date: 2013
  • Doi Number: 10.1142/s0217732313500260
  • Journal Name: MODERN PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Complexified quaternion, supersymmetric quantum mechanics, Dirac operator, Dirac equation, REFORMULATION, TIME, TRANSFORMATION, EQUATIONS, MEDIA, FIELD
  • Anadolu University Affiliated: Yes

Abstract

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.