Irreducible Representations of the Space Groups
Author : Oleg Vladimirovich Kovalev
Publisher : Routledge
Page : 176 pages
File Size : 45,58 MB
Release : 1965
Category : Mathematics
ISBN :
Author : Oleg Vladimirovich Kovalev
Publisher : Routledge
Page : 176 pages
File Size : 45,58 MB
Release : 1965
Category : Mathematics
ISBN :
Author : Christopher Bradley
Publisher : Oxford University Press
Page : 758 pages
File Size : 46,68 MB
Release : 2010
Category : Mathematics
ISBN : 0199582580
This classic book gives, in extensive tables, the irreducible representations of the crystallographic point groups and space groups. These are useful in studying the eigenvalues and eigenfunctions of a particle or quasi-particle in a crystalline solid. The theory is extended to the corepresentations of the Shubnikov groups.
Author : Kovalev
Publisher : CRC Press
Page : 410 pages
File Size : 20,46 MB
Release : 1993-12-08
Category : Science
ISBN : 9782881249341
This new edition of Kovalev's renowned text (first English edition, 1965) presents all the irreducible representations (IRs) and irreducible corepresentations (ICRs) for the 230 crystallographic space groups. In order to give readers the opportunity of representing generally the entire crystallographic symmetry, the method of inducing an IR of the local groups is presented first, and then complete lists of induced representations (InRs) which allow the calculation of the microstructure of any crystal (already known or not yet discovered, but geometrically not forbidden) in any physical question. For research students and researchers in theoretical aspects of solid state physics, crystallography, and space group theory. Translated from the second Russian edition of 1987. Annotation copyright by Book News, Inc., Portland, OR
Author : Stanley C. Miller
Publisher :
Page : 1234 pages
File Size : 42,14 MB
Release : 1967
Category : Crystal lattices
ISBN :
"This volume contains a computer calculation of tables of the irreducible representations of 230 space groups of all prominent symmetry points in the associated Brillouin zones. The characters of the elements of the group of k are included as well as compatibility tables for related symmetry points. A second section gives the irreducible co-representations of the remaining 1421 magnetic space groups and the classification into the degeneracy types discussed by Wigner. A brief introduction to the theory of space groups will be given before the detailed description of the tables is presented. A general knowledge of group theory is assumed."--Intro. Published 1967.
Author : Arthur P. Cracknell
Publisher :
Page : pages
File Size : 26,75 MB
Release : 1979
Category :
ISBN :
Author : George F. Koster
Publisher :
Page : 84 pages
File Size : 50,72 MB
Release : 1964
Category : Group theory
ISBN :
Author : Joshua Zak
Publisher : Addison Wesley Longman
Page : 296 pages
File Size : 13,48 MB
Release : 1969
Category : Mathematics
ISBN :
Author : Mildred S. Dresselhaus
Publisher : Springer Science & Business Media
Page : 576 pages
File Size : 43,84 MB
Release : 2007-12-18
Category : Science
ISBN : 3540328998
This concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.
Author : Oleg Vladimirovich Kovalev
Publisher :
Page : pages
File Size : 28,72 MB
Release :
Category : Crystallography, Mathematical
ISBN :
Author : R. McWeeny
Publisher : Elsevier
Page : 263 pages
File Size : 25,17 MB
Release : 2013-09-03
Category : Mathematics
ISBN : 1483226247
Symmetry: An Introduction to Group Theory and its Application is an eight-chapter text that covers the fundamental bases, the development of the theoretical and experimental aspects of the group theory. Chapter 1 deals with the elementary concepts and definitions, while Chapter 2 provides the necessary theory of vector spaces. Chapters 3 and 4 are devoted to an opportunity of actually working with groups and representations until the ideas already introduced are fully assimilated. Chapter 5 looks into the more formal theory of irreducible representations, while Chapter 6 is concerned largely with quadratic forms, illustrated by applications to crystal properties and to molecular vibrations. Chapter 7 surveys the symmetry properties of functions, with special emphasis on the eigenvalue equation in quantum mechanics. Chapter 8 covers more advanced applications, including the detailed analysis of tensor properties and tensor operators. This book is of great value to mathematicians, and math teachers and students.