Quantum strips on surfaces

DOI10.1016/S0393-0440(02)00146-8zbMath1016.58015arXivmath-ph/0204049MaRDI QIDQ1864953

David Krejčiřík

Publication date: 23 March 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0204049

zbMATH Keywords

Dirichlet conditionsruled surfacescurvaturegeodesicessential spectrumdiscrete spectrumLaplacianbound statesquantum waveguidesFermi coordinatesflatasymptotically geodesicquantum strips

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Quantum optics (81V80) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (13)

Quantum mechanics of a constrained particle and the problem of prescribed geometry-induced potential ⋮ Existence of bound states for layers built over hypersurfaces in \(\mathbb R^{n+1}\) ⋮ Existence of discrete eigenvalues for the Dirichlet Laplacian in a two-dimensional twisted strip ⋮ Spectral analysis on ruled surfaces with combined Dirichlet and Neumann boundary conditions ⋮ The adiabatic limit of Schrödinger operators on fibre bundles ⋮ Hardy inequalities in strips on ruled surfaces ⋮ Spectrum of the Laplacian in a narrow curved strip with combined Dirichlet and Neumann boundary conditions ⋮ Ruled strips with asymptotically diverging twisting ⋮ Quantum strips in higher dimensions ⋮ Dirichlet Laplacian in a thin twisted strip ⋮ On the Discrete Spectrum of Generalized Quantum Tubes ⋮ On the spectrum of curved planar waveguides ⋮ Effective quantum dynamics on the Möbius strip

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