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Optical Heisenberg ferromagnetic model for directional inextensible flows of spacelike curves with geometric phase

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Abstract

In this paper, we introduce the notion of the Heisenberg ferromagnetic model for directional inextensible flows of spacelike curves by using the quasi-frame in the Minkowski space. Furthermore, we study some integrability conditions for quasi-frame fields. With this new concept, we derive the necessary and sufficient condition for the given curve to be the inextensible flow. Finally, we give some new characterizations for quasi-curvatures of the spacelike curve by Heisenberg ferromagnetic model and we obtain total phase for quasi-vector fields.

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Authors and Affiliations

  1. Department of Mathematics, Muş Alparslan University, 49250, Muş, Turkey

    Talat Körpinar

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  1. Talat Körpinar
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Correspondence to Talat Körpinar.

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Körpinar, T. Optical Heisenberg ferromagnetic model for directional inextensible flows of spacelike curves with geometric phase. Indian J Phys 94, 403–408 (2020). https://doi.org/10.1007/s12648-019-01462-2

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  • DOI: https://doi.org/10.1007/s12648-019-01462-2

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