Quantum layers over surfaces ruled outside a compact set

DOI10.1063/1.2736518zbMath1144.81376arXivmath/0701349OpenAlexW3212950975MaRDI QIDQ3529758

Christopher Lin, Zhiqin Lu

Publication date: 14 October 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701349

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (7)

Breaking a magnetic zero locus: Asymptotic analysis ⋮ Magnetic effects in curved quantum waveguides ⋮ Spectrum of the Laplacian in a narrow curved strip with combined Dirichlet and Neumann boundary conditions ⋮ Ruled strips with asymptotically diverging twisting ⋮ Dirac operator spectrum in tubes and layers with a zigzag-type boundary ⋮ On the discrete spectrum of quantum layers ⋮ The magnetic Laplacian in shrinking tubular neighborhoods of hypersurfaces

Cites Work

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• Existence of bound states for layers built over hypersurfaces in \(\mathbb R^{n+1}\)
• Triviality of hierarchical Ising model in four dimensions
• On the Discrete Spectrum of Generalized Quantum Tubes
• Topologically nontrivial quantum layers
• Geodesic Parallel Coordinates in the Large

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