Quaternionic Formulation of Supersymmetric Quantum Mechanics
Seema Rawat, O. P. S. Negi
TL;DR
This paper develops a quaternionic framework for supersymmetric quantum mechanics, demonstrating consistency with traditional quantum mechanics results for free particles and interacting fields in various dimensions.
Contribution
It introduces a quaternionic formulation of supersymmetric quantum mechanics, including Hamiltonians, supercharges, and energy spectra, extending the mathematical structure of the theory.
Findings
Quaternionic formulation aligns with standard quantum mechanics results.
Supercharges and Hamiltonians are consistently defined in quaternionic terms.
Applicable to both free particles and interacting fields in different dimensions.
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.
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