03143nam a22004695i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050002100153072001700174072002300191072001600214100008100230245013100311250001800442264006900460300006500529336002600594337002600620338003600646347002400682490005500706505053100761520088401292650002202176650001802198650002602216650003002242650003802272650005702310650003702367710003402404773002602438776003602464776003602500776003602536830005502572856004602627978-3-031-55268-7DE-He21320251030112007.0cr nn 008mamaa240417s2024    sz |    s    |||| 0|eng d  a97830315526877 a10.1007/978-3-031-55268-72doi 4aQC173.45-173.458 7aPHFC2bicssc 7aSCI0770002bisacsh 7aPHFC2thema1 aBünemann, Jörg.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aGroup Theory in Physicsh[electronic resource] :bAn Introduction with a Focus on Solid State Physics /cby Jörg Bünemann.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXII, 230 p. 48 illus., 43 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aUndergraduate Lecture Notes in Physics,x2192-48050 aIntroduction -- 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.  aThis 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. 0aCondensed matter. 0aGroup theory. 0aMathematical physics.14aCondensed Matter Physics.24aGroup Theory and Generalizations.24aTheoretical, Mathematical and Computational Physics.24aMathematical Methods in Physics.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303155267008iPrinted edition:z978303155269408iPrinted edition:z9783031552700 0aUndergraduate Lecture Notes in Physics,x2192-480540uhttps://doi.org/10.1007/978-3-031-55268-7