000 | 04913nam a22005655i 4500 | ||
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001 | 978-3-031-16045-5 | ||
003 | DE-He213 | ||
005 | 20240730165315.0 | ||
007 | cr nn 008mamaa | ||
008 | 221130s2023 sz | s |||| 0|eng d | ||
020 |
_a9783031160455 _9978-3-031-16045-5 |
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024 | 7 |
_a10.1007/978-3-031-16045-5 _2doi |
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050 | 4 | _aQC19.2-20.85 | |
072 | 7 |
_aPHU _2bicssc |
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_aSCI040000 _2bisacsh |
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_aPHU _2thema |
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082 | 0 | 4 |
_a530.15 _223 |
100 | 1 |
_aEnayati, Mohammad. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _988348 |
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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 | _a1st ed. 2023. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2023. |
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300 |
_aXI, 217 p. 16 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
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505 | 0 | _aIntroduction -- 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 book reviews the construction of elementary systems living in de Sitter (dS) spacetime, in both the classical and quantum senses. Field theories on dS spacetime are among the most studied mathematical models of the Universe, whether for its earlier period (inflationary phase) or for its current phase of expansion acceleration (dark energy or cosmological constant). Classical elementary systems are Hamiltonian phase spaces, which are associated with co-adjoint orbits of the relativity group. On the other hand, quantum elementary systems are associated with (projective) unitary irreducible representations of the (possibly extended) relativity group (or one of its covering). This study emphasizes the conceptual issues arising in the formulation of such systems and discusses known results in a mathematically rigorous way. Particular attention is paid to: "smooth" transition from classical to quantum theory; physical content under vanishing curvature, from the point of view of a local("tangent") Minkowskian observer; and thermal interpretation (on the quantum level), in the sense of the Gibbons-Hawking temperature. Such a mathematical construction is of paramount importance to the understanding of the early Universe (due to the critical role that the dS metric plays in the inflationary cosmological scenarii) as well as to the construction of possible models for late-time cosmology (since a small positive cosmological constant or dark energy seems to be required by recent data). In this sense, this book uniquely blends mathematical physics (spacetime symmetry on classical and quantum levels) and theoretical physics (quantization, quantum field theory, and cosmology). Moreover, the level of exposition varies in different parts of the book so that both experts and beginners alike can utilize the book. In addition, this book: Presents consistent formulations of dS elementary systems on three levels; classical mechanics,quantum mechanics, and the quantum field theory Blends mathematical physics (spacetime symmetry on classical and quantum levels) and theoretical physics (quantization, quantum field theory, and cosmology) to uniquely introduce the mathematical structure of dS relativity Discusses conceptual considerations/worries that arise in the formulation of elementary systems. | ||
650 | 0 |
_aMathematical physics. _911013 |
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650 | 0 |
_aAstrophysics. _911132 |
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650 | 0 |
_aCosmology. _94476 |
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650 | 1 | 4 |
_aMathematical Physics. _911013 |
650 | 2 | 4 |
_aAstrophysics. _911132 |
650 | 2 | 4 |
_aCosmology. _94476 |
650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _931560 |
700 | 1 |
_aGazeau, Jean-Pierre. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _988349 |
|
700 | 1 |
_aPejhan, Hamed. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _988350 |
|
700 | 1 |
_aWang, Anzhong. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _988352 |
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710 | 2 |
_aSpringerLink (Online service) _988355 |
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773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9783031160448 |
776 | 0 | 8 |
_iPrinted edition: _z9783031160462 |
776 | 0 | 8 |
_iPrinted edition: _z9783031160479 |
830 | 0 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 _988357 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-16045-5 |
912 | _aZDB-2-SXSC | ||
942 | _cEBK | ||
999 |
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