05233nam 2200709Ia 450 991078487620332120230607221501.0981-277-837-3(CKB)1000000000402915(EBL)1679686(OCoLC)855898964(SSID)ssj0000136832(PQKBManifestationID)11158687(PQKBTitleCode)TC0000136832(PQKBWorkID)10087661(PQKB)10539422(MiAaPQ)EBC1679686(WSP)00004804(Au-PeEL)EBL1679686(CaPaEBR)ebr10201293(CaONFJC)MIL505455(EXLCZ)99100000000040291520020618d2001 uy 0engur|n|---|||||txtccrDeparametrization and path integral quantization of cosmological models[electronic resource] /Claudio SimeoneSingapore ;River Edge, NJ World Scientificc20011 online resource (152 p.)World scientific lecture notes in physics ;v. 69Description based upon print version of record.981-02-4741-9 Includes bibliographical references and index.Contents ; Preface ; Chapter 1 Introduction ; Chapter 2 The gravitational field as a constrained Hamiltonian system ; 2.1 Momentum and Hamiltonian constraints ; 2.2 Minisuperspaces as constrained systems ; 2.3 Quantization ; 2.3.1 Canonical quantization2.3.2 Path integral quantization Chapter 3 Deparametrization and path integral quantization ; 3.1 The identification of time ; 3.1.1 Gauge fixation and deparametrization ; 3.1.2 Topology of the constraint surface: intrinsic and extrinsic time3.2 Gauge-invariant action for a parametrized system 3.2.1 End point terms ; 3.2.2 Observables and time ; 3.2.3 Non separable constraints ; 3.3 Path integral ; 3.3.1 General formalism ; 3.3.2 The function f and the reduced Hamiltonian. Unitarity ; 3.4 Examples3.4.1 Feynman propagator for the Klein-Gordon equation 3.4.2 The ideal clock ; 3.4.3 Transition probability for empty Friedmann-Robertson-Walker universes ; Chapter 4 Homogeneous relativistic cosmologies ; 4.1 Isotropic universes ; 4.1.1 A toy model ; 4.1.2 True degrees of freedom4.1.3 A more general constraint 4.1.4 Extrinsic time. The closed ""de Sitter"" universe ; 4.1.5 Comment ; 4.2 Anisotropic universes ; 4.2.1 The Kantowski-Sachs universe ; 4.2.2 The Taub universe ; 4.2.3 Other anisotropic models ; Chapter 5 String cosmologies5.1 String theory on background fields The problem of time is a central feature of quantum cosmology: differing from ordinary quantum mechanics, in cosmology there is nothing "outside" the system which plays the role of clock, and this makes difficult the obtention of a consistent quantization. A possible solution is to assume that a subset of the variables describing the state of the universe can be a clock for the remaining of the system. Following this line, in this book a new proposal consisting in the previous identification of time by means of gauge fixation is applied to the quantization of homogeneous cosmological models. World Scientific lecture notes in physics ;v. 69.Quantum gravitySpace and timePath integralsGauge invarianceHamiltonian systemsQuantum gravity.Space and time.Path integrals.Gauge invariance.Hamiltonian systems.523.1Simeone Claudio1473682MiAaPQMiAaPQMiAaPQBOOK9910784876203321Deparametrization and path integral quantization of cosmological models3686938UNINA01503nas 2200397 n 450 99000894347040332120240229084532.00010-4418000894347FED01000894347(Aleph)000894347FED01000894347CNRP 0007432220161109a19509999km-y0itaa50------bafreITauu--------ComprendreRevue de politique de la culture1950-VeniseSociete europeenne de cultureComprendre0080605584Société Européenne de Culture, VeneziaITACNP20090723http://acnp.cib.unibo.it/cgi-ser/start/it/cnr/dc-p1.tcl?catno=48364&person=false&language=ITALIANO&libr=&libr_th=unina1Biblioteche che possiedono il periodicoSE990008943470403321BRAU. Biblioteca di Ricerca di Area Umanistica1955-1965;1969-1974;1956;EST. FRANCIA 3FLFBCFLFBCComprendre101709UNINA866-01NA072 BRAU. Biblioteca di Ricerca di Area UmanisticaEST. FRANCIA 3Piazza Bellini 56/60, 80133 Napoli (NA)(081) 2533948itacnp.cib.unibo.itACNP Italian Union Catalogue of Serialshttp://acnp.cib.unibo.it/cgi-ser/start/it/cnr/df-p.tcl?catno=48364&language=ITALIANO&libr=&person=&B=1&libr_th=unina&proposto=NO04563nam0 2200793 i 450 BVEE01769320251003044101.0uob. eman umer viil (3) 1563 (R)fei20120810d1563 ||||0itac50 balatlatlatlatitz01i xxxe z01nz01ncRDAcarrierˆCiceronis ‰De officiis libri 3. Cato maior, vel de senectute: Laelius, vel de amicitia: Paradoxa stoicorum sex: cum Petri Marsi, Francisci Maturantii, Omniboni, Martini Philetici, & Ascensij, in haec omnia praestantissimis commentarijs: & aliorum doctissimorum virorum annotationibus sparsim appositis, quibus difficillima quaeque Cic. loca explicantur. Marii Nizolii brixellensis defensiones locorum aliquot Ciceronis contra disquisitiones Calcagnini. Cum duplici indice, ...Venetiisapud Ioannem Mariam Bonellum1563Venetiisapud Ioannem Mariam Bonellum1563[4], 221, [1] c.2ºRiferimenti: EDIT16 CNCE 12370Nel titolo il numero 3 è espresso: IIICorsivo, romano; segnatura: *⁴ A-2D⁸ 2E⁶ (2E6 bianca); iniziali xilografiche.1 v. - Sulla carta di guardia anteriore nota di possesso ms (Franciscus Antonius de Vita Dominus est huis Libri). - Macchie di umiditàIT-BN0095 , ANT FONDO RARI 30De officiisBVEE000736CFIV00664313598Paradoxa stoicorumBVEE000739CFIV00664315546De amicitiaRMS2667079CFIV00664315650De senectuteVIA0290444CFIV00664315115ITVeneziaSBLL003553Cicero, Marcus TulliusCFIV00664307082411Bade, Josse <1462-1535>BVEV011645Marso, Pietro <1442-1512>BVEV018098Bonisoli, OgnibenePUVV407087Filetico, MartinoRAVV074817Maturanzio, FrancescoSBLV214846Nizzoli, Mario <1498-1566>TO0V021779Bonelli, Giovanni Maria <1.>BVEV020762650Badius, JodocusBVEV011650Bade, Josse <1462-1535>AscensiusBVEV048465Bade, Josse <1462-1535>Badius, Ascensius <1462-1536>CFIV258259Bade, Josse <1462-1535>Marsus, PetrusRT1V040612Marso, Pietro <1442-1512>Cicerone, Marco TullioCFIV006644Cicero, Marcus TulliusCiceroneCFIV030674Cicero, Marcus TulliusCicéronCFIV068480Cicero, Marcus TulliusCicerone, M. TullioCFIV150753Cicero, Marcus TulliusCyceronCFIV254495Cicero, Marcus TulliusOmnibonus : VicentinusNAPV116607Bonisoli, OgnibeneOmnibonus : LeonicenusNAPV116608Bonisoli, OgnibeneLeonicenusNAPV116609Bonisoli, OgnibeneOgnibene : da LonigoSBNV028380Bonisoli, OgnibeneOgnibene : VicentinoVIAV143115Bonisoli, OgnibenePhileticus, MartinusRAVV074818Filetico, MartinoFilettico, MartinoSBNV028805Filetico, MartinoMatarazzo, FrancescoIEIV047973Maturanzio, FrancescoMatarazzi, FrancescoURBV075913Maturanzio, FrancescoMaturantius, FranciscusURBV075986Maturanzio, FrancescoNizoli, MarioBVEV031779Nizzoli, Mario <1498-1566>Nizolio, MarioTO0V021780Nizzoli, Mario <1498-1566>Nizolius, MariusTO0V021781Nizzoli, Mario <1498-1566>Bade, JosseBVEV017119Bade, Josse <1462-1535>ITIT-00000020120810IT-BN0095 NAP 01ANT $BVEE017693BVEM000536In cornice figurata: Minerva: donna con elmo, lancia e scudo che cavalca un leone. Motto: virtuti omnia parent. Iniziali: ZMBV.Q34O698Z845Sul front.Biblioteca Centralizzata di Ateneo1 esemplare 01ANT FONDO RARI 30 01AR 0070092635 VMA 1 v. - Sulla carta di guardia anteriore nota di possesso ms (Franciscus Antonius de Vita Dominus est huis Libri). - Macchie di umiditàB 1993102520230522 01De officiis13598Paradoxa Stoicorum15546De senectute15115De amicitia15650UNISANNIO