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Nonsmooth spin densities for continuous Heisenberg spin chains

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Abstract

In this article we derive the triangular integral representations of the Jost matrix solutions of the continuous Heisenberg spin chain equation, as proposed by Zakharov and Takhtajan, without making smoothness assumptions on the spin density.

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Acknowledgments

The authors wish to express their appreciation of Matteo Sommacal for valuable discussions. The research leading to this article was supported in part by INdAM-GNFM.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università di Cagliari, Viale Merello 92, 09121, Cagliari, Italy

    Francesco Demontis, Francesca Vargiu & Cornelis van der Mee

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  1. Francesco Demontis
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  2. Francesca Vargiu
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  3. Cornelis van der Mee
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Correspondence to Francesco Demontis.

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Demontis, F., Vargiu, F. & van der Mee, C. Nonsmooth spin densities for continuous Heisenberg spin chains. Ricerche mat 65, 469–478 (2016). https://doi.org/10.1007/s11587-016-0268-x

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  • DOI: https://doi.org/10.1007/s11587-016-0268-x

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