SUPERSYMMETRIC QUANTUM MECHANICS AND EUCLIDEAN-DIRAC OPERATOR WITH COMPLEXIFIED QUATERNIONS
MODERN PHYSICS LETTERS A, vol.28, no.8, 2013 (SCI-Expanded, Scopus)
- 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.