Brillouin zones and the geometry of numbers
type: Item
instance of: scholarly article
title: Brillouin zones and the geometry of numbers
zbMATH Open document ID: 0609.10027
DOI: 10.1007/BF01104979
published in: Journal of Soviet Mathematics
publication date: 1987-01-01T00:00:00Z
review text: Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 134, 206-225 (Russian) (1984; Zbl 0536.10026).
Mathematics Subject Classification ID: 11H31
Mathematics Subject Classification ID: 11P21
zbMATH DE Number: 3985329
zbMATH Keywords: Brillouin zones
zbMATH Keywords: quantum solid state theory
zbMATH Keywords: fundamental domains
zbMATH Keywords: lattice
zbMATH Keywords: best packing
zbMATH Keywords: covering
zbMATH Keywords: discs
zbMATH Keywords: balls
zbMATH Keywords: number of lattice points
author: M. M. Skriganov
MaRDI profile type: Publication
cites work: Q5789047
cites work: Q3267313
cites work: Q3941775
cites work: Über die Inhaltsgleichheit der Brillouinschen Zonen
cites work: Q5842186
cites work: On the Number of Lattice Points in a Convex Set
cites work: Über Integrale auf konvexen Körpern. I, II
cites work: ON THE NUMBER OF LATTICE POINTS INSIDE A RANDOM OVAL
cites work: Q5595275
cites work: The minimum of an inhomogeneous quadratic polynomial in \(n\) variables
full work available at URL: https://doi.org/10.1007/bf01104979
OpenAlex ID: W2046782253
Recommended article: Q3320473
Recommended article: On Brillouin zones
Recommended article: Q4369246
Recommended article: The ring of invariant real functions on the Brillouin zone
Recommended article: Q3834676
Recommended article: A General Algorithm for Calculating Irreducible Brillouin Zones
Recommended article: Q5287001
Recommended article: The geometry of fractional branes
Recommended article: Bloch constants and Bloch minimal surfaces
description: scientific article; zbMATH DE number 3985329