LEADER 03263nam 22006975 450 001 9910983367303321 005 20250223115237.0 010 $a9783031728020 010 $a3031728025 024 7 $a10.1007/978-3-031-72802-0 035 $a(MiAaPQ)EBC31915792 035 $a(Au-PeEL)EBL31915792 035 $a(CKB)37694020700041 035 $a(DE-He213)978-3-031-72802-0 035 $a(OCoLC)1503845127 035 $a(EXLCZ)9937694020700041 100 $a20250223d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNovel Group Theoretical Methods for Electron Structure Theory /$fby Victor G. Yarzhemsky 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (498 pages) 311 08$a9783031728013 311 08$a3031728017 327 $aPoint Groups and Wavefunctions in Molecules -- Magnetic Groups and Their Applications -- Induced Representations Method in the Theory of Electron Structure -- Cooper Pairs as Two-electron States in Crystals. 330 $aThis book presents the induced representation method, a powerful technique in quantum mechanics with applications in condensed matter physics. After introducing the key concepts in group theory and representation theory necessary to understate the technique, the author goes on to explore applications in electron structure theory, namely: basis sets in clusters, normal vibrations, selection rules, two-electron wavefunctions, and space-group representations. This technique allows the simplification of standard techniques for the analysis of molecular orbitals and normal vibrations of molecules. A space group approach to the wavefunction of a Cooper pair based on the Anderson ansatz and Mackey-Bradley theorem is developed, and several applications are considered, namely group-theoretical nodes, non-symmorphic groups, and unification of the group theoretical and topological approaches to the structure of Cooper pairs in unconventional superconductors. 606 $aCondensed matter 606 $aTopological insulators 606 $aSuperconductors$xChemistry 606 $aGroup theory 606 $aQuantum chemistry 606 $aCondensed Matter Physics 606 $aTopological Material 606 $aStrongly Correlated Systems 606 $aSuperconductors 606 $aGroup Theory and Generalizations 606 $aQuantum Chemistry 615 0$aCondensed matter. 615 0$aTopological insulators. 615 0$aSuperconductors$xChemistry. 615 0$aGroup theory. 615 0$aQuantum chemistry. 615 14$aCondensed Matter Physics. 615 24$aTopological Material. 615 24$aStrongly Correlated Systems. 615 24$aSuperconductors. 615 24$aGroup Theory and Generalizations. 615 24$aQuantum Chemistry. 676 $a530.41 700 $aYarzhemsky$b Victor$01801861 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910983367303321 996 $aNovel Group Theoretical Methods for Electron Structure Theory$94347263 997 $aUNINA