Planar waveguide with ``twisted'' boundary conditions: small width (Q2861731)

scientific article; zbMATH DE number 6224912

Language	Label	Description	Also known as
English	Planar waveguide with ``twisted'' boundary conditions: small width	scientific article; zbMATH DE number 6224912

Statements

instance of

0 references

0 references

0 references

Journal of Mathematical Physics

0 references

publication date

11 November 2013

0 references

full work available at URL

https://arxiv.org/abs/1112.1787

0 references

MaRDI profile type

Publication

0 references

cites work

Coupling in the singular limit of thin quantum waveguides

0 references

Asymptotic solutions of nonrelativistic equations of quantum mechanics in curved nanotubes. I: Reduction to spatially one-dimensional equations

0 references

Homogenization with corrector term for periodic elliptic differential operators

0 references

Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1({\mathbb{R}}^d)$

0 references

Geometric coupling thresholds in a two-dimensional strip

0 references

Discrete spectrum of an asymmetric pair of waveguides coupled through a window

0 references

Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin planar domains

0 references

Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in $\mathbb R^d$

0 references

Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods

0 references

Planar waveguide with ''twisted'' boundary conditions: Discrete spectrum

0 references

On the curvature and torsion effects in one dimensional waveguides

0 references

Nontrivial edge coupling from a Dirichlet network squeezing: the case of a bent waveguide

0 references

Graph-like models for thin waveguides with Robin boundary conditions

0 references

Bound states in straight quantum waveguides with combined boundary conditions

0 references

CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS

0 references

A Hardy inequality in twisted waveguides

0 references

Convergence of spectra of graph-like thin manifolds

0 references

Convergence of resonances on thin branched quantum waveguides

0 references

Approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds

0 references

Waves in a thin and periodically oscillating medium

0 references

A sharp upper bound for the first Dirichlet eigenvalue and the growth of the isoperimetric constant of convex domains

0 references

On the spectrum of narrow periodic waveguides

0 references

On the spectrum of the Dirichlet Laplacian in a narrow strip

0 references

Local perturbations of the Schrödinger operator on the axis

0 references

Spectra of graph neighborhoods and scattering

0 references

Asymptotic behavior of the eigenvalues of the Schrödinger operator in thin closed tubes

0 references

Asymptotic behavior of eigenvalues of the Laplace operator in thin infinite tubes

0 references

Spectrum of the Laplacian in a narrow curved strip with combined Dirichlet and Neumann boundary conditions

0 references

On the spectrum and weakly effective operator for Dirichlet Laplacian in thin deformed tubes

0 references

Q4654161

0 references

Homogenization in the Sobolev class $H^{1}(\mathbb R^{d})$ for second order periodic elliptic operators with the inclusion of first order terms

0 references

title

Planar waveguide with ``twisted'' boundary conditions: small width (English)

0 references

Identifiers

zbMATH Open document ID

1274.81108

0 references

DOI

10.1063/1.3681895

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2861731