Semiclassical spectrum of the Schrödinger operator on a geometric graph
type: Item
instance of: scholarly article
title: Semiclassical spectrum of the Schrödinger operator on a geometric graph
zbMATH Open document ID: 1160.47022
DOI: 10.1134/S0001434607090313
published in: Mathematical Notes
publication date: 2008-09-03T00:00:00Z
review text: The paper mainly gives an algorithm for constructing quantization rules to treat the asymptotic spectral problem for the Schrödinger equation on a geometric graph.
reviewed by: Ti-Jun Xiao
Mathematics Subject Classification ID: 47B25
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 81Q20
zbMATH DE Number: 5319869
zbMATH Keywords: geometric graph
zbMATH Keywords: one-dimensional Schrödinger operator
zbMATH Keywords: Sturm-Liouville problem
zbMATH Keywords: spectrum
zbMATH Keywords: asymptotics
zbMATH Keywords: Laplace operator
zbMATH Keywords: Betti number
author: Vsevolod L. Chernyshev
author: A. I. Shafarevich
MaRDI profile type: Publication
cites work: Convergence of spectra of graph-like thin manifolds
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full work available at URL: s0001434607090313
OpenAlex ID: W2063081717
description: scientific article; zbMATH DE number 5319869