Group Theory Application to the Physics of Condensed Matter /

Every process in physics is governed by selection rules that are the consequence of symmetry requirements. The beauty and strength of group theory resides in the transformation of many complex symmetry operations into a very simple linear algebra. This concise and class-tested book has been pedagogi...

Full description

Main Authors: Dresselhaus, Mildred S. (Author, http://id.loc.gov/vocabulary/relators/aut), Dresselhaus, Gene. (http://id.loc.gov/vocabulary/relators/aut), Jorio, Ado. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edition:1st ed. 2008.
Subjects:
Online Access:https://doi.org/10.1007/978-3-540-32899-5
LEADER 04785nam a22005775i 4500
001 978-3-540-32899-5
003 DE-He213
005 20210615121503.0
007 cr nn 008mamaa
008 100301s2008 gw | s |||| 0|eng d
020 |a 9783540328995  |9 978-3-540-32899-5 
024 7 |a 10.1007/978-3-540-32899-5  |2 doi 
050 4 |a QC173.45-173.458 
072 7 |a PHF  |2 bicssc 
072 7 |a SCI077000  |2 bisacsh 
072 7 |a PHF  |2 thema 
082 0 4 |a 530.41  |2 23 
100 1 |a Dresselhaus, Mildred S.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Group Theory  |h [electronic resource] :  |b Application to the Physics of Condensed Matter /  |c by Mildred S. Dresselhaus, Gene Dresselhaus, Ado Jorio. 
250 |a 1st ed. 2008. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2008. 
300 |a XV, 582 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a Basic Mathematics -- Basic Mathematical Background: Introduction -- Representation Theory and Basic Theorems -- Character of a Representation -- Basis Functions -- Introductory Application to Quantum Systems -- Splitting of Atomic Orbitals in a Crystal Potential -- Application to Selection Rules and Direct Products -- Molecular Systems -- Electronic States of Molecules and Directed Valence -- Molecular Vibrations, Infrared, and Raman Activity -- Application to Periodic Lattices -- Space Groups in Real Space -- Space Groups in Reciprocal Space and Representations -- Electron and Phonon Dispersion Relation -- Applications to Lattice Vibrations -- Electronic Energy Levels in a Cubic Crystals -- Energy Band Models Based on Symmetry -- Spin–Orbit Interaction in Solids and Double Groups -- Application of Double Groups to Energy Bands with Spin -- Other Symmetries -- Time Reversal Symmetry -- Permutation Groups and Many-Electron States -- Symmetry Properties of Tensors. 
520 |a Every process in physics is governed by selection rules that are the consequence of symmetry requirements. The beauty and strength of group theory resides in the transformation of many complex symmetry operations into a very simple linear algebra. This concise and class-tested book has been pedagogically tailored over 30 years MIT and 2 years at the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory in close connection with applications helps students to learn, understand and use it for their own needs. For this reason, the theoretical background is confined to the first 4 introductory chapters (6-8 classroom hours). From there, each chapter develops new theory while introducing applications so that the students can best retain new concepts, build on concepts learned the previous week, and see interrelations between topics as presented. Essential problem sets between the chapters also aid the retention of the new material and for the consolidation of material learned in previous chapters. The text and problem sets have proved a useful springboard for the application of the basic material presented here to topics in semiconductor physics, and the physics of carbon-based nanostructures. 
650 0 |a Condensed matter. 
650 0 |a Group theory. 
650 0 |a Mathematical physics. 
650 0 |a Physics. 
650 0 |a Optical materials. 
650 0 |a Electronic materials. 
650 1 4 |a Condensed Matter Physics.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/P25005 
650 2 4 |a Group Theory and Generalizations.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/M11078 
650 2 4 |a Theoretical, Mathematical and Computational Physics.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/P19005 
650 2 4 |a Mathematical Methods in Physics.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/P19013 
650 2 4 |a Optical and Electronic Materials.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/Z12000 
700 1 |a Dresselhaus, Gene.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Jorio, Ado.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783540821618 
776 0 8 |i Printed edition:  |z 9783642069451 
776 0 8 |i Printed edition:  |z 9783540328971 
856 4 0 |u https://doi.org/10.1007/978-3-540-32899-5 
912 |a ZDB-2-PHA 
912 |a ZDB-2-SXP 
950 |a Physics and Astronomy (SpringerNature-11651) 
950 |a Physics and Astronomy (R0) (SpringerNature-43715)