LEADER 04680nam 2200721Ia 450 001 9910821249703321 005 20200520144314.0 010 $a1-281-93560-3 010 $a9786611935603 010 $a981-279-517-0 035 $a(CKB)1000000000537827 035 $a(EBL)1679397 035 $a(OCoLC)879023564 035 $a(SSID)ssj0000182877 035 $a(PQKBManifestationID)11166909 035 $a(PQKBTitleCode)TC0000182877 035 $a(PQKBWorkID)10172008 035 $a(PQKB)10526793 035 $a(MiAaPQ)EBC1679397 035 $a(WSP)00005288 035 $a(Au-PeEL)EBL1679397 035 $a(CaPaEBR)ebr10255906 035 $a(PPN)164480625 035 $a(EXLCZ)991000000000537827 100 $a20030509d2003 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aIntroduction to random time and quantum randomness$b[electronic resource] /$fKai Lai Chung, Jean-Claude Zambrini 205 $aNew ed. 210 $aRiver Edge, N.J. $cWorld Scientific$dc2003 215 $a1 online resource (225 p.) 225 1 $aMonographs of the Portuguese Mathematical Society ;$vv. 1 300 $aDescription based upon print version of record. 311 $a981-238-388-3 320 $aIncludes bibliographical references and index. 327 $aContents ; Monographs of the Portuguese Mathematical Society ; Monografias da Sociedade Portuguesa de Matematica ; Guide ; Foreword to Part 1 ; Part 1. Introduction to Random Time ; 1 Prologue ; 2 Stopping time ; 3 Martingale stopped ; 4 Random past and future ; 5 Other times 327 $a6 From first to last 7 Gapless time ; 8 Markov chain in continuum time ; 9 The trouble with the infinite ; References ; Foreword to Part 2 ; Part 2. Introduction to Quantum Randomness ; 1 Classical prologue ; 2 Standard quantum mechanics 327 $a3 Probabilities in standard quantum mechanics 4 Feynman's approach to quantum probabilities ; 4.1 Lagrangian mechanics ; 4.2 Feynman's space-time reinterpretation of quantum mechanics ; 5 Schrodinger's Euclidean quantum mechanics 327 $a5.1 A probabilistic interpretation of Feynman's approach 5.2 Feynman's results revisited ; 6 Beyond Feynman's approach ; 6.1 More quantum symmetries ; 6.2 Introduction to functional calculus ; 7 Time for a dialogue ; References ; Index 330 $a This book is made up of two essays on the role of time in probability and quantum physics. In the first one, K L Chung explains why, in his view, probability theory starts where random time appears. This idea is illustrated in various probability schemes and the deep impact of those random times on the theory of the stochastic process is shown. In the second essay J-C Zambrini shows why quantum physics is not a regular probabilistic theory, but also why stochastic analysis provides new tools for analyzing further the meaning of Feynman's path integral approach and a number of foundational is 410 0$aMonographs of the Portuguese Mathematical Society ;$vv. 1. 606 $aQuantum chaos 606 $aRandom fields 606 $aMathematical physics 606 $aStochastic processes 615 0$aQuantum chaos. 615 0$aRandom fields. 615 0$aMathematical physics. 615 0$aStochastic processes. 676 $a530.12 676 $a530.15192 701 $aChung$b Kai Lai$f1917-2009.$012286 701 $aZambrini$b Jean-Claude$01678452 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910821249703321 996 $aIntroduction to random time and quantum randomness$94125751 997 $aUNINA