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Regularized trace of the Dirac operator

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Abstract

Formulas for the regularized trace of the one-dimensional non—self-adjoint Dirac operator with L 2-potential are obtained. The cases of periodic and antiperiodic boundary conditions as well as of the Dirichlet boundary conditions are considered. The formulas are obtained by using the method of similar operators on the basis of results from the papers [1] and [2].

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References

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Authors and Affiliations

  1. Voronezh State University, Voronezh, Russia

    A. O. Shcherbakov

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  1. A. O. Shcherbakov
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Correspondence to A. O. Shcherbakov.

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Original Russian Text © A. O. Shcherbakov, 2015, published in Matematicheskie Zametki, 2015, Vol. 98, No. 1, pp. 134–146.

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Shcherbakov, A.O. Regularized trace of the Dirac operator. Math Notes 98, 168–179 (2015). https://doi.org/10.1134/S0001434615070147

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