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Dual numbers and supersymmetric mechanics

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Czechoslovak Journal of Physics Aims and scope

Abstract

We show that dual numbers, apart from the known practical applications to the description of a rigid body movements in three dimensional space and natural presence in abstract differential algebra, play a role in field theory and are related to supersymmetry as well. Relevant models are considered.

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Authors and Affiliations

  1. Institute of Theoretical Physics, University of Wroclaw, pl. M. Borna 9, 50-204, Wroclaw, Poland

    Andrzej M. Frydryszak

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  1. Andrzej M. Frydryszak
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This work is supported by Polish KBN grant #1PO3B01828.

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Frydryszak, A.M. Dual numbers and supersymmetric mechanics. Czech J Phys 55, 1409–1414 (2005). https://doi.org/10.1007/s10582-006-0018-5

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  • DOI: https://doi.org/10.1007/s10582-006-0018-5

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