LEADER 03364nam 22005415 450 001 9910908366603321 005 20241115115744.0 010 $a9783031643767 010 $a3031643763 024 7 $a10.1007/978-3-031-64376-7 035 $a(MiAaPQ)EBC31783852 035 $a(Au-PeEL)EBL31783852 035 $a(CKB)36583085400041 035 $a(DE-He213)978-3-031-64376-7 035 $a(EXLCZ)9936583085400041 100 $a20241115d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTheory and Applications of the Poincaré Group /$fby Sibel Ba?kal, Young Suh Kim, Marilyn E. Noz 205 $a2nd ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (501 pages) 311 08$a9783031634888 311 08$a3031634888 327 $aOverview -- Theory of the Poincaré Group -- Theory of Spinors -- Group Contractions -- Covariant Harmonic Oscillator Formalism -- Dirac?s Form of Relativistic Quantum Mechanics -- Symmetries of Dirac?s Coupled Oscillators and Dirac?s Matrices -- The Lorentz Group -- Lorentz-Dirac Deformation in High-Energy Physics -- Decoherence and the Poincaré Sphere.-Lorentz Group in Classical Optics. 330 $aThis book is intended mainly as a teaching tool directed toward those who desire a deeper understanding of group theory in terms of examples applicable to the physical world and/or of the physical world in terms of the symmetry properties which can best be formulated in terms of group theory. Both advanced students and scholars interested in the relationship between group theory and physics will find it instructive. In particular, those engaged in high-energy physics and foundations of quantum mechanics will find this book rich in illustrative examples of relativistic quantum mechanics. This new edition contains four new chapters, two of which are consistent with Dirac's aim to combine the important developments in physics in the twentieth century, namely quantum mechanics and special relativity. Moreover, these new chapters also discuss various aspects of classical and quantum optics that are now understood to be interrelated. Most of the original chapters have been updated, either with new material added or in some instances reinterpretation of the original. The order of the chapters has been rearranged to create a more cohesive presentation. The original purpose of the first edition, namely to present examples to which physics students and researchers can relate, has not been altered. 606 $aMathematical physics 606 $aGroup theory 606 $aTheoretical, Mathematical and Computational Physics 606 $aGroup Theory and Generalizations 615 0$aMathematical physics. 615 0$aGroup theory. 615 14$aTheoretical, Mathematical and Computational Physics. 615 24$aGroup Theory and Generalizations. 676 $a512.22 700 $aBa?kal$b Sibel$01775266 701 $aKim$b Young Suh$048216 701 $aNoz$b Marilyn E$048217 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910908366603321 996 $aTheory and Applications of the Poincaré Group$94289896 997 $aUNINA