000 03857nam a22004935i 4500
001 978-3-540-32899-5
003 DE-He213
005 20161121231046.0
007 cr nn 008mamaa
008 100301s2008 gw | s |||| 0|eng d
020 _a9783540328995
_9978-3-540-32899-5
024 7 _a10.1007/978-3-540-32899-5
_2doi
050 4 _aQC173.45-173.458
072 7 _aPHF
_2bicssc
072 7 _aSCI077000
_2bisacsh
082 0 4 _a530.41
_223
100 1 _aDresselhaus/Dresselhaus/Jorio.
_eauthor.
245 1 0 _aGroup Theory
_h[electronic resource] /
_cby Dresselhaus/Dresselhaus/Jorio.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
300 _aXV, 582 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aBasic 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 _aEvery 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 _aPhysics.
650 0 _aGroup theory.
650 0 _aCondensed matter.
650 0 _aOptical materials.
650 0 _aElectronic materials.
650 1 4 _aPhysics.
650 2 4 _aCondensed Matter Physics.
650 2 4 _aGroup Theory and Generalizations.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aOptical and Electronic Materials.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540328971
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-32899-5
912 _aZDB-2-PHA
950 _aPhysics and Astronomy (Springer-11651)
999 _c507932
_d507932