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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Dresselhaus, Mildred S. (Autor), Dresselhaus, Gene (Autor), Jorio, Ado (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Temas:
Acceso en línea:Texto Completo

MARC

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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. 
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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 Optical materials. 
650 1 4 |a Condensed Matter Physics. 
650 2 4 |a Group Theory and Generalizations. 
650 2 4 |a Theoretical, Mathematical and Computational Physics. 
650 2 4 |a Mathematical Methods in Physics. 
650 2 4 |a Optical Materials. 
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) 
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776 0 8 |i Printed edition:  |z 9783540821618 
776 0 8 |i Printed edition:  |z 9783642069451 
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950 |a Physics and Astronomy (SpringerNature-11651) 
950 |a Physics and Astronomy (R0) (SpringerNature-43715)