LEADER 02928nam 2200613 450 001 996466590803316 005 20220919140017.0 010 $a3-540-48782-4 024 7 $a10.1007/BFb0074073 035 $a(CKB)1000000000437188 035 $a(SSID)ssj0000327380 035 $a(PQKBManifestationID)12097417 035 $a(PQKBTitleCode)TC0000327380 035 $a(PQKBWorkID)10301355 035 $a(PQKB)11767569 035 $a(DE-He213)978-3-540-48782-1 035 $a(MiAaPQ)EBC5577799 035 $a(Au-PeEL)EBL5577799 035 $a(OCoLC)1066179851 035 $a(MiAaPQ)EBC6875767 035 $a(Au-PeEL)EBL6875767 035 $a(PPN)155210440 035 $a(EXLCZ)991000000000437188 100 $a20220919d1994 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aTransition to chaos in classical and quantum mechanics $electures given at the 3rd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, July 6-13, 1991 /$fedited by Sandro Graffi [and five others] 205 $a1st ed. 1994. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer-Verlag,$d[1994] 210 4$d©1994 215 $a1 online resource (VIII, 196 p.) 225 1 $aC.I.M.E. Foundation Subseries ;$v1589 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-58416-1 327 $aNon commutative methods in semiclassical analysis -- Equidistribution of periodic orbits: An overview of classical VS quantum results -- Action minimizing orbits in hamiltomian systems. 330 $aThe Session was intended to give a broad survey of the mathematical problems arising in the chaotic transition of deterministic dynamical systems, both in classical and quantum mechanics. The lectures of Mather and Forni thoroughly cover the area- preserving twist maps, and include an up-to-date version of the Aubry-Mather theory. The lectures of Bellissard describe the quantum aspects: classical limit, localization, spectral properties of the relevant Schrödinger operators and thus represent an exhaus- tive introduction to the mathematics of "quantum chaos". The lectures of Degli Esposti et al. reviews equidistribu- tion of unstable periodic orbits and classical limit of quantized toral symplectomorphisms. 410 0$aC.I.M.E. Foundation Subseries ;$v1589 606 $aChaotic behavior in systems$vCongresses 606 $aQuantum theory 615 0$aChaotic behavior in systems 615 0$aQuantum theory. 676 $a530.12 702 $aGraffi$b S$g(Sandro),$f1943- 712 02$aCentro internazionale matematico estivo. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466590803316 996 $aTransition to Chaos in Classical and Quantum Mechanics$92831150 997 $aUNISA