Abstract
Quaternionic formulation of supersymmetric quantum mechanics has been developed consistently in terms of Hamiltonians, super partner Hamiltonians, and supercharges for free particle and interacting field in one and three dimensions. Supercharges, super partner 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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Rawat, S., Negi, O.P.S. Quaternionic Formulation of Supersymmetric Quantum Mechanics. Int J Theor Phys 48, 305–314 (2009). https://doi.org/10.1007/s10773-008-9803-1
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DOI: https://doi.org/10.1007/s10773-008-9803-1