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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 9, Pages 1630–1638
(Mi zvmmf599)
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This article is cited in 1 scientific paper (total in 1 paper)
Resonances and trapped modes in a quantum waveguide
A. A. Arsen'ev M. V. Lomonosov Moscow State University, Faculty of Physics
Abstract:
Properties of the eigenfunctions of the continuous spectrum of a self-adjoint differential second-order operator in a cylinder are investigated. It is proved that the eigenfunctions of the continuous spectrum are analytic with respect to the spectral parameter near the eigenvalues embedded in the continuous spectrum, and any eigenvalue embedded in the continuous spectrum is a removable singular point for the corresponding eigenfunctions.
Key words:
resonances and trapped modes, quantum waveguides, eigenvalue problem.
Received: 04.02.2005
Citation:
A. A. Arsen'ev, “Resonances and trapped modes in a quantum waveguide”, Zh. Vychisl. Mat. Mat. Fiz., 45:9 (2005), 1630–1638; Comput. Math. Math. Phys., 45:9 (2005), 1573–1581
Linking options:
https://www.mathnet.ru/eng/zvmmf599 https://www.mathnet.ru/eng/zvmmf/v45/i9/p1630
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Abstract page: | 388 | Full-text PDF : | 124 | References: | 48 | First page: | 1 |
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