LEADER 04842nam 2200673 a 450 001 9910452880403321 005 20200520144314.0 010 $a3-11-026753-5 024 7 $a10.1515/9783110267648 035 $a(CKB)2550000001096655 035 $a(EBL)893917 035 $a(OCoLC)826479663 035 $a(SSID)ssj0000827072 035 $a(PQKBManifestationID)12376474 035 $a(PQKBTitleCode)TC0000827072 035 $a(PQKBWorkID)10829157 035 $a(PQKB)10949599 035 $a(MiAaPQ)EBC893917 035 $a(DE-B1597)173595 035 $a(OCoLC)853263921 035 $a(DE-B1597)9783110267648 035 $a(Au-PeEL)EBL893917 035 $a(CaPaEBR)ebr10649246 035 $a(CaONFJC)MIL503189 035 $a(EXLCZ)992550000001096655 100 $a20120813d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSymmetry of intramolecular quantum dynamics$b[electronic resource] /$fAlexander V. Burenin ; translated by Alexey V. Krayev 210 $aBerlin $cDe Gruyter$d2012 215 $a1 online resource (444 p.) 225 0 $aDe Gruyter Studies in Mathematical Physics ;$v11 225 0$aDe Gruyter studies in mathematical physics ;$v11 300 $aDescription based upon print version of record. 311 $a3-11-026764-0 311 $a1-299-71938-4 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tPreface -- $tContents -- $tPart I. Foundations of the mathematical apparatus -- $tChapter 1. Basic concepts of group theory -- $tChapter 2. Basic concepts of group representation theory -- $tChapter 3. The permutation group -- $tChapter 4. Continuous groups -- $tChapter 5. Point groups -- $tChapter 6. Dynamic groups -- $tPart II. Qualitative intramolecular quantum dynamics -- $tChapter 7. The philosophy of using the symmetry properties of internal dynamics -- $tChapter 8. Internal dynamics of rigid molecules -- $tChapter 9. Molecules with torsional transitions of the exchange type -- $tChapter 10. Molecules with pseudorotations of the exchange type -- $tChapter 11. Molecules with transitions of the nonexchange type between equivalent configurations -- $tChapter 12. On the meaning of the Born-Oppenheimer Approximation -- $tChapter 13. Molecules with transitions of the exchange and nonexchange types between equivalent configurations -- $tChapter 14. On the construction of extended point groups -- $tChapter 15. Nonrigid molecular systems with continuous axial symmetry groups -- $tChapter 16. Molecules with different isomeric forms in a single electronic state -- $tChapter 17. Molecules with different isomeric forms in different electronic states -- $tChapter 18. Algebraic models of the global description of molecular spectrum -- $tChapter 19. Description of the Zeeman and Stark effects -- $tChapter 20. Additional remarks on describing intramolecular dynamics -- $tConclusion -- $tAppendices -- $tBibliography -- $tIndex 330 $aThe main goal of this book is to give a systematic description of intramolecular quantum dynamics on the basis of only the symmetry principles. In this respect, the book has no analogs in the world literature. This approach does not introduce a configuration space of the molecular system in explicit form at all and, consequently, does not consider in explicit form the wave functions of the coordinates of this space. However, precisely because of its deep philosophical and technical difference this approach is the only possible for the solution of many topical problems of the internal dynamics of molecules. The obtained models lead to a simple, purely algebraic, scheme of calculation and are rigorous in the sense that their correctness is limited only to the correct choice of symmetry of the internal dynamics. The book is basically intended for scientists working in the field of molecular spectroscopy, quantum and structural chemistry. The reader is not supposed to know the apparatus of group representation theory needed for application of symmetry methods in quantum intramolecular dynamics since the first part of the book is dedicated to it. 410 3$aDe Gruyter Studies in Mathematical Physics 606 $aMolecular dynamics$xMathematical models 606 $aMolecular spectra 608 $aElectronic books. 615 0$aMolecular dynamics$xMathematical models. 615 0$aMolecular spectra. 676 $a539/.6 686 $aUM 3000$2rvk 700 $aBurenin$b A. V$g(Aleksandr Valentinovich)$01053529 701 $aKrayev$b Alexey V$01053530 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910452880403321 996 $aSymmetry of intramolecular quantum dynamics$92485472 997 $aUNINA