Spectrum of the magnetic Schrödinger operator in a waveguide with combined boundary conditions

DOI10.1007/s00023-005-0209-9zbMath1077.81038arXivmath-ph/0405034OpenAlexW2125970971MaRDI QIDQ1777350

Tomas Ekholm, Hynek Kovařík, Denis I. Borisov

Publication date: 13 May 2005

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0405034

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

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A quantum waveguide with Aharonov–Bohm magnetic field ⋮ Trapped modes in piezoelectric and elastic waveguides ⋮ Perturbation of threshold of essential spectrum for waveguides with windows. II: Asymptotics ⋮ Asymptotics of an eigenvalue on the continuous spectrum of two quantum waveguides coupled through narrow windows ⋮ A Hardy inequality in twisted waveguides ⋮ Magnetic field influence on the discrete spectrum of locally deformed leaky wires ⋮ Waveguides with combined Dirichlet and Robin boundary conditions ⋮ Hardy inequalities in strips on ruled surfaces ⋮ The adiabatic limit of the connection Laplacian ⋮ Planar waveguide with “twisted” boundary conditions: Discrete spectrum ⋮ Perturbation of threshold of essential spectrum for waveguides with windows. I: Decreasing resonance solutions

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