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Group Theory in Solid State Physics and Photonics
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Wolfram Hergert, extraordinary professor in Computational Physics, is member of the Theoretical Physics group at University Halle-Wittenberg, Germany. Main subjects of his work are solid state theory, electronic and magnetic structure of nanostructures and photonics. Prof. Hergert has experience in teaching group theory and in applying Mathematica to physical problems. He has published in renowned journals, like Nature and Physical Review Letters, and edited a books on Computational Materials Science and Mie Theory. He is also coauthor of a book on Quantum Theory. Matthias Geilhufe studied physics at the Martin Luther University Halle-Wittenberg (Germany) with specialization in theoretical and computational physics. From 2012-2015 he was employed as a PhD student at the Max Planck Institute of Microstructure Physics in Halle. In 2015 he obtained his PhD at the Martin Luther University Halle-Wittenberg. Currently, he is working at the Nordita Institute in Stockholm, Sweden. His work is based on the investigation of electronic and magnetic properties of complex materials. For his research, methods based on group theory or density functional theory are applied.
1 Preface 2 Introduction I Basics of group theory 3 Symmetry operations and transformations of fields 4 Basic abstract group theory 5 Discrete symmetry groups for solid state physics and photonics 6 Representation theory 7 Symmetry in k-space II Applications in electronic structure theory 8 Solution of the Schroedinger equation 9 Generalization to include the spin 10 Electronic energy bands III Applications in photonics 11 Solution of Maxwell's equations 12 Twodimensional photonic crystals 13 Threedimensional photonic crystals 14 Other Applications A Mathematica Package Reference B Connection of the group theory package to MPB and MEEP