Regularized trace of the Dirac operator (Q887486)
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scientific article; zbMATH DE number 6498248
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularized trace of the Dirac operator |
scientific article; zbMATH DE number 6498248 |
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Regularized trace of the Dirac operator (English)
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26 October 2015
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In this paper, the author considers one-dimensional Dirac operators in \(L_2((0,\pi); \mathbb{C}^2)\) with \(L_2\)-potential and periodic, antiperiodic and Dirichlet boundary conditions, particularly in the non-selfadjoint case. By using similarity transforms and Fourier techniques, formulas for the regularized trace are derived.
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non-self-adjoint Dirac operator
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regularized trace
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periodic/antiperiodic boundary conditions
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Dirichlet boundary conditions
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Hilbert space
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complex Banach space
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Banach algebra
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Fourier coefficient
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