On the perturbation of the Dirac operator by a finite difference operator (Q2729596)
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scientific article; zbMATH DE number 1623050
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the perturbation of the Dirac operator by a finite difference operator |
scientific article; zbMATH DE number 1623050 |
Statements
24 July 2001
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Strauss method
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perturbation
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minimal symmetric Dirac operator
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finite difference Hermitian operator
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boundary value problem
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ordinary differential equations with spectral parameter in boundary conditions
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On the perturbation of the Dirac operator by a finite difference operator (English)
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On the basis of introducing finite-dimensional extensions of a given operator with outcome to a wider space the perturbation of the minimal symmetric Dirac operator in the space \(L^2((0, \infty),\mathbb{C}^2)\) by a finite difference Hermitian operator in \(\mathbb{C}^n\) is investigated. Such perturbation gives the boundary value problem for the system of two ordinary differential equations with spectral parameter in boundary conditions. For this reducing the \textit{A. V. Strauss} method [Dokl. Akad. Nauk SSSR 144, No. 3, 512-515 (1962; Zbl 0151.19501)] is used.
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