03501nam a22005535i 4500 978-3-031-55268-7 DE-He213 20251030112007.0 cr nn 008mamaa 240417s2024 sz | s |||| 0|eng d 9783031552687 978-3-031-55268-7 10.1007/978-3-031-55268-7 doi QC173.45-173.458 PHFC bicssc SCI077000 bisacsh PHFC thema Bünemann, Jörg. author. aut http://id.loc.gov/vocabulary/relators/aut 75629 Group Theory in Physics [electronic resource] : An Introduction with a Focus on Solid State Physics / by Jörg Bünemann. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XII, 230 p. 48 illus., 43 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Undergraduate Lecture Notes in Physics, 2192-4805 Introduction -- Groups: Definitions and Properties -- Point Groups -- Representations and Characters -- Orthogonality Theorems -- Quantum Mechanics and Group Theory -- Irreducible Representations of the Point Groups in Solids -- Group Theory in Stationary Perturbation Theory Calculations -- Material Tensors and Tensor Operators -- Matrix Elements of Tensor Operators: The Wigner-Eckart Theorem -- Double Groups and their Representations -- Space Groups -- Representations of Space Groups -- Particles in Periodic Potentials. This textbook provides a didactic introduction to the topic of group theory in physics, with a special focus on solid state physics issues. The book is useful for students who encounter such problems in their first scientific work (in theory or experiment). In addition to the basic introduction to group theory and representation theory, the book deals with point groups, double point groups, and space groups, which are essential in solid state physics. As an example for systems with space group symmetry, electrons in periodic potentials are discussed. Furthermore, there are chapters on material tensors and the Wigner Eckart theorem for the evaluation of matrix elements. The latter is especially interesting for students dealing with spectroscopic problems. The content is accompanied by a series of exercises and examples. A set of solutions can be found in the appendix. Condensed matter. 66773 Group theory. 70149 Mathematical physics. Condensed Matter Physics. 71872 Group Theory and Generalizations. 70154 Theoretical, Mathematical and Computational Physics. 65563 Mathematical Methods in Physics. 70877 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031552670 Printed edition: 9783031552694 Printed edition: 9783031552700 Undergraduate Lecture Notes in Physics, 2192-4805 73796 https://doi.org/10.1007/978-3-031-55268-7 ZDB-2-PHA ZDB-2-SXP 59324 59324