Bound states in tubular quantum waveguides with torsion

DOI10.1088/0305-4470/29/15/022zbMath0904.47068OpenAlexW1983392695MaRDI QIDQ4390195

A. J. Bracken, I. J. Clark

Publication date: 30 September 1998

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

Full work available at URL: https://doi.org/10.1088/0305-4470/29/15/022

zbMATH Keywords

torsionDirichlet boundary conditionscurvatureminimax methodexistence of a bound statelocally cylindrical polar coordinate systemquantum particle constrained to move within a tube

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Geometry and quantization, symplectic methods (81S10)

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Spectral estimates for Dirichlet Laplacians and Schrödinger operators on geometrically nontrivial cusps ⋮ Quantum singular operator limits of thin Dirichlet tubes via \(\Gamma\)-convergence ⋮ Spectrum of the Schrödinger operator in a perturbed periodically twisted tube ⋮ Advances in quantum waveguide dynamics, with applications to physical and biological nanostructures ⋮ On the spectrum and weakly effective operator for Dirichlet Laplacian in thin deformed tubes ⋮ Spectrum of the Dirichlet Laplacian in sheared waveguides ⋮ Eigenvalue and resonance asymptotics in perturbed periodically twisted tubes: twisting versus bending ⋮ A simplifying transformation for the Laplace-Beltrami operator in curvilinear coordinates ⋮ On Norm Resolvent and Quadratic Form Convergences in Asymptotic Thin Spatial Waveguides ⋮ Quantum strips on surfaces

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