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arxiv:1803.01058
Riccati parametric deformations of the Cornu spiral
Published on Apr 25, 2018
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Abstract
A parametric deformation of the Cornu spiral derived from a Riccati equation related to Fresnel integrals reveals a supersymmetric Darboux structure via factorization.
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A parametric deformation of the Cornu spiral is introduced. The parameter is an integration constant which appears in the general solution of the Riccati equation related to the Fresnel integrals. Argand plots of the deformed spirals are presented and a supersymmetric (Darboux) structure of the deformation is revealed through the factorization approach.
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