Planar waveguide with “twisted” boundary conditions: Discrete spectrum
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Publication:2853597
DOI10.1063/1.3670875zbMath1273.81100arXiv1110.3452OpenAlexW2057996114MaRDI QIDQ2853597
Giuseppe Cardone, Denis I. Borisov
Publication date: 16 October 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.3452
Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum dots, waveguides, ratchets, etc. (81Q37) Universal Taylor series in one complex variable (30K05)
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Cites Work
- Unnamed Item
- On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition
- Bound states in a locally deformed waveguide: The critical case
- On regular and singular perturbations of acoustic and quantum waveguides
- A Hardy inequality in twisted waveguides
- Non-homogeneous media and vibration theory
- Outgoing solutions for perturbations of -\(\Delta\) with applications to spectral and scattering theory
- Spectrum of the magnetic Schrödinger operator in a waveguide with combined boundary conditions
- On the eigenvalues of finitely perturbed Laplace operators in infinite cylindrical domains
- Existence of bound states in quantum waveguides under weak conditions
- Asymptotics of bound state for laterally coupled waveguides.
- Homogenization and asymptotics for a waveguide with an infinite number of closely located small windows
- Asymptotic behavior of the eigenvalues of the Schrödinger operator with transversal potential in a weakly curved infinite cylinder
- Spectrum of the Schrödinger operator in a perturbed periodically twisted tube
- Local perturbations of the Schrödinger operator on the axis
- Geometrically induced discrete spectrum in curved tubes
- On the spectrum of curved planar waveguides
- A lower bound to the spectral threshold in curved tubes
- Distant perturbation asymptotics in window-coupled waveguides. I. The nonthreshold case
- Bound states in curved quantum waveguides
- Resonances in twisted quantum waveguides
- Eigenvalue Asymptotics in a Twisted Waveguide
- Homogenization of the planar waveguide with frequently alternating boundary conditions
- Bound-state asymptotic estimates for window-coupled Dirichlet strips and layers
- Weakly coupled bound states in quantum waveguides
- Curved planar quantum wires with Dirichlet and Neumann boundary conditions
- Exponential splitting of bound states in a waveguide with a pair of distant windows
- Bound states in straight quantum waveguides with combined boundary conditions
- Geometric coupling thresholds in a two-dimensional strip
- CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
- Bound states and scattering in quantum waveguides coupled laterally through a boundary window
- The spectrum of two quantum layers coupled by a window
- Stability of the Magnetic Schrödinger Operator in a Waveguide
- Discrete spectrum of an asymmetric pair of waveguides coupled through a window
- Bound states in weakly deformed strips and layers.
