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020 _a9783031565526
_9978-3-031-56552-6
024 7 _a10.1007/978-3-031-56552-6
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
100 1 _aEnayati, Mohammad.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_976014
245 1 4 _aThe de Sitter (dS) Group and Its Representations
_h[electronic resource] :
_bAn Introduction to Elementary Systems and Modeling the Dark Energy Universe /
_cby Mohammad Enayati, Jean-Pierre Gazeau, Hamed Pejhan, Anzhong Wang.
250 _a2nd ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2024.
300 _aXV, 241 p. 16 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
505 0 _aIntroduction -- As a preliminary: 1 + 1-dimensional dS (dS2) geometry and relativity -- 1+3-dimensional dS (dS4) geometry and relativity (classical and quantum mechanics) -- 1+3-dimensional dS (dS4) geometry and relativity (QFT) -- Notion of mass in (A)dS4 relativity.
520 _aThis Second Edition is a comprehensive update, integrating the latest research and theoretical advancements in the field of de Sitter (dS) group representations. Building on the success of the first edition, the book offers a more in-depth analysis of mathematical aspects, conceptual foundations, and practical implications related to the dS group, including its Lie manifold, Lie algebra, and co-adjoint orbits, viewing the latter as potential classical elementary systems within the context of dS spacetime. Additionally, the examination of unitary irreducible representations (UIRs) sheds light on the potential existence of quantum elementary systems within the dS spacetime framework. The authors emphasize consistency with Wigner's approach to elementary systems, incorporate Wigner's principles and exploring projective UIRs of the dS group, and provide a deeper insight into the nature of dS elementary systems. Particular attention is paid to: the “smooth” transition from classical to quantum theory, the physical content under vanishing curvature, and the thermal interpretation from a quantum perspective. The book also focuses on the physical interpretation of elementary systems in curved spacetimes, recognizing the limitations of traditional concepts derived from flat Minkowski spacetime and the Poincaré group. In addition, this book: Delves into the mathematical intricacies of the de Sitter (dS) group and its unitary irreducible representations (UIRs) Explores the meticulous construction of dS elementary systems, aligned with the Wigner framework and UIRs Offers a unique grasp of inflationary and late-time cosmology in classical and quantum realms.
650 0 _aMathematical physics.
650 0 _aAstrophysics.
_968037
650 0 _aCosmology.
_976015
650 0 _aElementary particles (Physics).
_968885
650 0 _aQuantum field theory.
_968886
650 1 4 _aMathematical Physics.
650 2 4 _aAstrophysics.
_968037
650 2 4 _aCosmology.
_976015
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_965563
650 2 4 _aElementary Particles, Quantum Field Theory.
_968887
650 2 4 _aMathematical Methods in Physics.
_970877
700 1 _aGazeau, Jean-Pierre.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_976016
700 1 _aPejhan, Hamed.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_976017
700 1 _aWang, Anzhong.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_976018
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031565519
776 0 8 _iPrinted edition:
_z9783031565533
776 0 8 _iPrinted edition:
_z9783031565540
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
856 4 0 _uhttps://doi.org/10.1007/978-3-031-56552-6
912 _aZDB-2-SXSC
999 _c59500
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