Quaternionic Formulation of Supersymmetric Quantum Mechanics

Abstract

Quaternionic formulation of supersymmetric quantum mechanics has been developed consistently in terms of Hamiltonians, superpartner Hamiltonians, and supercharges for free particle and interacting field in one and three dimensions. Supercharges, superpartner Hamiltonians and energy eigenvalues are discussed and it has been shown that the results are consistent with the results of quantum mechanics.

References in corpus (4)

• Supersymmetry and Quantum Mechanics
• Extended Superconformal Galilean Symmetry in Chern-Simons Matter Systems
• Higher Dimensional SUSY Quantum Mechanics
• Higher Dimensional Supersymmetry

Cited by in corpus (5)

• Supersymmetrization of Quaternion Dirac Equation for Generalized Fields of Dyons
• Quaternionic Quantization Principle in General Relativity and Supergravity
• A Possible Mathematical Structure for Physics
• Two dimensional representation of the Dirac equation in Non associative algebra
• Colored Quaternion Dirac Particles of Charges 2/3 and -1/3