Portail IziBook®, service d'agrégation et de diffusion

Découvrez les ouvrages de nos éditeurs et libraires

Introduction to Louis Michel's lattice geometry through group action

A partir de 0,00 €

En vente chez

 
Description :

Group action analysis developed and applied mainly by Louis Michel to the study of N-dimensional periodic lattices is the central subject of the book. Di erent basic mathematical tools currently used for the description of lattice geometry are introduced and illustrated through applications to crystal structures in two- and three-dimensional space, to abstract multi-dimensional lattices and to lattices associated with integrable dynamical systems. Starting from general Delone sets the authors turn to di erent symmetry and topological classi- cations including explicit construction of orbifolds for two- and three-dimensional point and space groups.

Voronoï and Delone cells together with positive quadratic forms and lattice description by root systems are introduced to demonstrate alternative approaches to lattice geometry study. Zonotopes and zonohedral families of 2-, 3-, 4-, 5-dimensional lattices are explicitly visualized using graph theory approach. Along with crystallographic applications, qualitative features of lattices of quantum states appearing for quantum problems associated with classical Hamiltonian integrable dynamical systems are shortly discussed.

The presentation of the material is presented through a number of concrete examples with an extensive use of graphical visualization. The book is aimed at graduated and post-graduate students and young researchers in theoretical physics, dynamical systems, applied mathematics, solid state physics, crystallography, molecular physics, theoretical chemistry, ...

 

 

Editeur EDP Sciences

Auteur(s) : De B. Zhilinskii, Michel Leduc et Michel Le Bellac

Collection : Current Natural Sciences

Parution : mars 2016

ISBN13 (Livre papier) : 978-2-759-81738-2
EAN13 (Livre papier) : 9782759817382

ISBN13 (eBook [PDF]) : 978-2-759-81952-2
EAN13 (eBook [PDF]) : 9782759819522

 
 
 

Ouvrages dans la même collection

 
Wed Sep 16 15:02:48 +0200 2020

Portail IziBook
Service de référencement Web gratuit
pour les éditeurs et libraires qui ont choisi IziBook® pour leur site Web.

Rechercher par éditeur

CdL
CPE
L>P
PUG
SPM
ZDL