Existence of bound states in quantum waveguides under weak conditions
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Publication:1900484
DOI10.1007/BF00739151zbMath0838.35087OpenAlexW1976834269MaRDI QIDQ1900484
Publication date: 31 October 1995
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00739151
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
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Stability of the Magnetic Schrödinger Operator in a Waveguide ⋮ Topologically nontrivial quantum layers ⋮ 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 ⋮ Spectrum of the Schrödinger operator in a perturbed periodically twisted tube ⋮ A Hardy inequality in a twisted Dirichlet–Neumann waveguide ⋮ Weakly coupled bound states in quantum waveguides ⋮ A Hardy inequality in twisted waveguides ⋮ Waveguides with combined Dirichlet and Robin boundary conditions ⋮ Bound states of waveguides with two right-angled bends ⋮ Spectrum of the Dirichlet Laplacian in sheared waveguides ⋮ On the existence of bound states in asymmetric leaky wires ⋮ Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity ⋮ Geometrically induced discrete spectrum in curved tubes ⋮ Planar waveguide with “twisted” boundary conditions: Discrete spectrum ⋮ On the spectrum of curved planar waveguides ⋮ Quantum strips on surfaces
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