Schrödinger operator with a strong varying interaction on a curve in $\mathbb {R}^2$R2
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Publication:5409668
DOI10.1063/1.4821832zbMath1284.81130OpenAlexW1979160681MaRDI QIDQ5409668
Publication date: 14 April 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4821832
Asymptotic behavior of solutions to PDEs (35B40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)
Cites Work
- Unnamed Item
- On the spectrum of the Dirichlet Laplacian in a narrow strip
- A Hardy inequality in twisted waveguides
- Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in \(\mathbb R^d\)
- Schrödinger operators with singular interactions
- Asymptotics of eigenvalues of the Schrödinger operator with a strong \(\delta\)-interaction on a loop
- Instability results for the damped wave equation in unbounded domains
- Curvature-induced bound states for a \(\delta\) interaction supported by a curve in \(\mathbb{R}^3\)
- Geometrically induced spectrum in curved leaky wires
- A lower bound to the spectral threshold in curved tubes
- Leaky Quantum Graphs: A Review
- Weakly coupled bound states in quantum waveguides
- Persistent currents for the 2D Schrödinger operator with a strong δ-interaction on a loop
- STRONG-COUPLING ASYMPTOTIC EXPANSION FOR SCHRÖDINGER OPERATORS WITH A SINGULAR INTERACTION SUPPORTED BY A CURVE IN ℝ3
- CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
- Spectrum of the Laplacian in a narrow curved strip with combined Dirichlet and Neumann boundary conditions
- Strong Coupling Asymptotics for a Singular Schrödinger Operator with an Interaction Supported by an Open Arc
- Bound states in weakly deformed strips and layers.
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