04680nam 2200721Ia 450 991082124970332120200520144314.01-281-93560-39786611935603981-279-517-0(CKB)1000000000537827(EBL)1679397(OCoLC)879023564(SSID)ssj0000182877(PQKBManifestationID)11166909(PQKBTitleCode)TC0000182877(PQKBWorkID)10172008(PQKB)10526793(MiAaPQ)EBC1679397(WSP)00005288(Au-PeEL)EBL1679397(CaPaEBR)ebr10255906(PPN)164480625(EXLCZ)99100000000053782720030509d2003 uy 0engur|n|---|||||txtccrIntroduction to random time and quantum randomness[electronic resource] /Kai Lai Chung, Jean-Claude ZambriniNew ed.River Edge, N.J. World Scientificc20031 online resource (225 p.)Monographs of the Portuguese Mathematical Society ;v. 1Description based upon print version of record.981-238-388-3 Includes bibliographical references and index.Contents ; 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 times6 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 mechanics3 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 mechanics5.1 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 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 isMonographs of the Portuguese Mathematical Society ;v. 1.Quantum chaosRandom fieldsMathematical physicsStochastic processesQuantum chaos.Random fields.Mathematical physics.Stochastic processes.530.12530.15192Chung Kai Lai1917-2009.12286Zambrini Jean-Claude1678452MiAaPQMiAaPQMiAaPQBOOK9910821249703321Introduction to random time and quantum randomness4125751UNINA