On the essential spectrum of quantum waveguides
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Publication:4921718
DOI10.1002/mma.2623zbMath1264.35154OpenAlexW2052522166MaRDI QIDQ4921718
F. Urbano-Altamirano, Raúl Castillo-Pérez, Vladimir S. Rabinovich
Publication date: 13 May 2013
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.2623
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10) Time-dependent Schrödinger equations and Dirac equations (35Q41) Quantum dots, waveguides, ratchets, etc. (81Q37)
Related Items (11)
Asymptotic and numerical analysis of slowly varying two-dimensional quantum waveguides ⋮ On the essential spectrum of quantum graphs ⋮ Electromagnetic Schrödinger operators on periodic graphs with general conditions at vertices ⋮ Spectral parameter power series for perturbed Bessel equations ⋮ Essential spectrum of Schrödinger operators with \(\delta\)-interactions on unbounded hypersurfaces ⋮ Dirac Operators on $$ \mathbb {R}$$ with General Point Interactions ⋮ Numerical estimates of the essential spectra of quantum graphs with delta-interactions at vertices ⋮ Elliptic differential operators on infinite graphs with general conditions on vertices ⋮ Boundary problems for domains with conical exits at infinity and limit operators ⋮ Essential spectrum of Schrödinger operators with 𝛿 and 𝛿^{′}-interactions on systems of unbounded smooth hypersurfaces in ℝⁿ ⋮ Spectral parameter power series for Sturm-Liouville equations with a potential polynomially dependent on the spectral parameter and Zakharov-Shabat systems
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