Asymptotic behavior of eigenvalues of the Laplace operator in thin infinite tubes
type: Item
instance of: scholarly article
title: Asymptotic behavior of eigenvalues of the Laplace operator in thin infinite tubes
zbMATH Open document ID: 1181.35150
DOI: 10.1134/S000143460905006X
author: V. V. Grushin
published in: Mathematical Notes
publication date: 2009-11-10T00:00:00Z
Mathematics Subject Classification ID: 35P10
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 81Q10
zbMATH DE Number: 5628197
zbMATH Keywords: eigenvalues of the Laplace operator
zbMATH Keywords: Dirichlet condition
zbMATH Keywords: thin infinite tube
zbMATH Keywords: Frenet equations
zbMATH Keywords: Schrödinger operator
zbMATH Keywords: Maslov canonical operator
zbMATH Keywords: quantum waveguide
MaRDI profile type: Publication
cites work: Mathematical aspects of integral optics.
cites work: Q5421252
cites work: Quantum and classical dynamics of an electron in thin curved tubes with spin and external electromagnetic fields taken into account
cites work: Asymptotic solutions of nonrelativistic equations of quantum mechanics in curved nanotubes. I: Reduction to spatially one-dimensional equations
cites work: CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
cites work: Bound states in curved quantum waveguides
cites work: Bound states in quantum waveguides of a slowly decaying curvature
cites work: A quantum pipette
cites work: Weakly coupled bound states in quantum waveguides
cites work: Bound states in a locally deformed waveguide: The critical case
cites work: Bound states in weakly deformed strips and layers.
cites work: On the eigenvalues of finitely perturbed Laplace operators in infinite cylindrical domains
cites work: Asymptotic behavior of the eigenvalues of the Schrödinger operator with transversal potential in a weakly curved infinite cylinder
cites work: Q4191141
cites work: Geometrically induced discrete spectrum in curved tubes
cites work: ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
cites work: Q5653193
cites work: ON A CLASS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS DEGENERATE ON A SUBMANIFOLD
full work available at URL: s000143460905006x
OpenAlex ID: W2051914736
description: scientific article; zbMATH DE number 5628197