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This article is cited in 34 scientific papers (total in 34 papers)
Local Perturbations of Quantum Waveguides
R. R. Gadyl'shin Bashkir State Pedagogical University
Abstract:
We give necessary and sufficient conditions for the occurrence of eigenvalues of the Schrodinger operator in strips and cylinders under small localized perturbations. We construct asymptotic approximations for the eigenvalues.
Keywords:
Schrodinger operator, waveguide, perturbation, spectrum, asymptotic approximation.
Received: 16.02.2005
Citation:
R. R. Gadyl'shin, “Local Perturbations of Quantum Waveguides”, TMF, 145:3 (2005), 358–371; Theoret. and Math. Phys., 145:3 (2005), 1678–1690
Linking options:
https://www.mathnet.ru/eng/tmf1905https://doi.org/10.4213/tmf1905 https://www.mathnet.ru/eng/tmf/v145/i3/p358
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