LEADER 03906nam 22006255 450 001 9911010534603321 005 20250618124755.0 010 $a3-031-71149-1 024 7 $a10.1007/978-3-031-71149-7 035 $a(CKB)39331593000041 035 $a(MiAaPQ)EBC32162268 035 $a(Au-PeEL)EBL32162268 035 $a(DE-He213)978-3-031-71149-7 035 $a(OCoLC)1525142463 035 $a(EXLCZ)9939331593000041 100 $a20250618d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeometry and Quantum Features of Special Relativity /$fby Norbert Dragon 205 $a2nd ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (300 pages) 225 1 $aPhysics and Astronomy Series 311 08$a3-031-71148-3 327 $aStructures of Spacetime -- Time and Distance -- Transformations -- Relativistic Particles -- Electrodynamics -- Classical Field Theory -- The Lorentz Group.-Hyperbolic and Spherical Geometry -- Relativistic Quantum Physics -- Scattering -- Quantum Fields -- Space Inversion, Time Reversal, Charge Conjugation -- Gauge Symmetry -- Appendix A, B, C, D -- References -- Index. 330 $aThis second edition of "The Geometry of Special Relativity - a Concise Course" offers more than just corrections and enhancements. It includes a new chapter on four-velocities and boosts as points and straight lines of hyperbolic geometry. Quantum properties of relativistic particles are derived from the unitary representations of the Poincaré group. Notably, the massless representation is related to the concept of a Hopf bundle. Scattering theory is developed analogously to the non-relativistic case, relying on proper symmetry postulates. Chapters on quantum fields, reflections of charge, space, and time, and the necessary gauge symmetry of quantized vector fields complete the foundation for evaluating Feynman graphs. An extended appendix covers more than a dozen additional topics. The first half of this edition refines the first edition, using simple diagrams to explain time dilation, length contraction, and Lorentz transformations based on the invariance of the speed of light. The text derives key results of relativistic physics and resolves apparent paradoxes. Following a presentation of the action principle, Noether's theorem, and relativistic mechanics, the book covers the covariant formulation of electrodynamics and classical field theory. The groups of rotations and Lorentz transformations are also examined as a transition to relativistic quantum physics. This text is aimed at graduate students of physics and mathematics seeking an advanced introduction to special relativity and related topics. Its presentation of quantum physics aims to inspire fellow researchers. 410 0$aPhysics and Astronomy Series 606 $aSpecial relativity (Physics) 606 $aGravitation 606 $aMathematics 606 $aMathematical physics 606 $aSpecial Relativity 606 $aClassical and Quantum Gravity 606 $aApplications of Mathematics 606 $aTheoretical, Mathematical and Computational Physics 615 0$aSpecial relativity (Physics) 615 0$aGravitation. 615 0$aMathematics. 615 0$aMathematical physics. 615 14$aSpecial Relativity. 615 24$aClassical and Quantum Gravity. 615 24$aApplications of Mathematics. 615 24$aTheoretical, Mathematical and Computational Physics. 676 $a530.110151 700 $aDragon$b Norbert$01828553 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911010534603321 996 $aGeometry and Quantum Features of Special Relativity$94397469 997 $aUNINA