Home : Book details

Introduction to Louis Michel's lattice geometry through group action (Current Natural Sciences) free ebook download

Category:
Mathematics

Views: 208
Likes: 41

Catalogue

Author(s):	Boris Zhilinskii

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	2759817385
Pages:	272	OCR:		Quality:		ISBN13:
Uploader:	topron	Upload Date:	11/26/2021 3:47:41 AM

To download click on link in the Links Table below

Description: Click to see full description

Group action analysis developed and applied mainly by Louis Michel to the study of N-dimensional periodic lattices is the main subject of the book. Different 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 authors turn to different symmetry and topological classifications including explicit construction of orbifolds for two- and three-dimensional point and space groups. Vorono 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 done through a number of concrete examples with an extensive use of graphical visualization. The book is addressed to graduated and post-graduate students and young researches in theoretical physics, dynamical systems, applied mathematics, solid state physics, crystallography, molecular physics, theoretical chemistry, ...
Read more

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3054152	Book	https://k2s.cc/file/1ebb3e0abae8e/275981...		0.00	topron

Tags: action Current geometry group Introduction lattice Louis Michel Natural Sciences

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:

Comments

New comment:

Introduction to Louis Michel's lattice geometry through group action (Current Natural Sciences) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics