TY - BOOK AU - Bünemann,Jörg ED - SpringerLink (Online service) TI - Group Theory in Physics: An Introduction with a Focus on Solid State Physics T2 - Undergraduate Lecture Notes in Physics, SN - 9783031552687 AV - QC173.45-173.458 PY - 2024/// CY - Cham PB - Springer Nature Switzerland, Imprint: Springer KW - Condensed matter KW - Group theory KW - Mathematical physics KW - Condensed Matter Physics KW - Group Theory and Generalizations KW - Theoretical, Mathematical and Computational Physics KW - Mathematical Methods in Physics N1 - 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 N2 - 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 UR - https://doi.org/10.1007/978-3-031-55268-7 ER -