Spectral series of the Schrödinger operator in a thin waveguide with a periodic structure. II: Closed three-dimensional waveguide in a magnetic field
type: Item
instance of: scholarly article
title: Spectral series of the Schrödinger operator in a thin waveguide with a periodic structure. II: Closed three-dimensional waveguide in a magnetic field
zbMATH Open document ID: 1251.35099
DOI: 10.1134/S1061920811010055
author: Jochen Brüning
author: Sergei Yu. Dobrokhotov
author: S. Ya. Sekerzh-Zen'kovich
author: T. Ya. Tudorovskii
published in: Russian Journal of Mathematical Physics
publication date: 2012-10-22T00:00:00Z
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 47N50
Mathematics Subject Classification ID: 35J10
zbMATH DE Number: 6097069
MaRDI profile type: Publication
cites work: Q5669645
cites work: Quantum and classical dynamics of an electron in thin curved tubes with spin and external electromagnetic fields taken into account
cites work: Explicit formulas for generalized action-angle variables in a neighborhood of an isotropic torus and their application
cites work: Operator separation of variables for adiabatic problems in quantum and wave mechanics
cites work: Q5831264
cites work: The spectral asymptotics of the two-dimensional Schrödinger operator with a strong magnetic field. I
cites work: Spectral series of the Schrödinger operator in thin waveguides with periodic structure. I: Adiabatic approximation and semiclassical asymptotics in the 2D case
cites work: Singular Bohr-Sommerfeld rules.
cites work: Semiclassical analysis of constrained quantum systems
cites work: The semiclassical Maupertuis-Jacobi correspondence and applications to linear water wave theory
cites work: CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
cites work: Statistical properties of the spectra of Laplace-Beltrami operators on Liouville surfaces
cites work: Q5800961
cites work: Q4009487
cites work: Q3908198
cites work: Effective dynamics for Bloch electrons: Peierls substitution and beyond
cites work: On the construction of quasimodes associated with stable periodic orbits
cites work: Q4185363
cites work: Quantum mechanics on manifolds embedded in Euclidean space.
cites work: Q4003742
cites work: Q3242933
full work available at URL: s1061920811010055
OpenAlex ID: W2149794499
description: scientific article; zbMATH DE number 6097069