Quaternion Dirac Equation and Supersymmetry

Abstract

Quaternion Dirac equation has been analyzed and its supersymetrization has been discussed consistently. It has been shown that the quaternion Dirac equation automatically describes the spin structure with its spin up and spin down components of two component quaternion Dirac spinors associated with positive and negative energies. It has also been shown that the supersymmetrization of quaternion Dirac equation works well for different cases associated with zero mass, non zero mass, scalar potential and generalized electromagnetic potentials. Accordingly we have discussed the splitting of supersymmetrized Dirac equation in terms of electric and magnetic fields.

References in corpus (2)

• Supersymmetry and Quantum Mechanics
• Higher Dimensional SUSY Quantum Mechanics

Cited by in corpus (11)

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• Quaternionic fermionic field
• Quaternionic Quantization Principle in General Relativity and Supergravity
• Generalized quaternionic free rotational Dirac equation and spinor solutions in the electromagnetic field
• A possibility of Klein Paradox in quaternionic (3+1) frame
• Quaternion-Octonion Unitary Symmetries and Analogous Casimir Operators
• On the existence of quaternion-handedness for the spinor solutions of the Dirac and Majorana neutrinos