02615pam a22003374a 4500001000800000005001700008008004100025010001700066020001500083020002200098035002300120035001700143040002700160042000800187050002100195082001500216245009600231260005000327300002500377490006200402504005100464505069000515520086001205650001902065650001902084650002602103650002602129700003202155700002702187830006302214417581520210414113931.0030509s2003    nju      b    001 0 eng    a  2003053533  a9812383883  a9812384154 (pbk.)  a(OCoLC)ocm52257546  a(NNC)4175815  aDLCcDLCdYDXdOrLoB-B  apcc00aQC174.17.C45I62 00a530.1222100aIntroduction to random time and quantum randomness. /cKai Lai Chung, Jean-Claude Zambrini.  aRiver Edge, N.J. :bWorld Scientific,cc2003.  axii, 211 p. ;c24cm.1 aMonographs of the Portuguese Mathematical Society ;vv. 1  aIncludes bibliographical references and index.00tContents: Monographs of the Portuguese Mathematical Society -- gPt. 1.tIntroduction to Random Time -- g1.tPrologue -- g2.tStopping time -- g3.tMartingale stopped -- g4.tRandom past and future -- g5.tOther times -- g6.tFrom first to last -- g7.tGapless time -- g8.tMarkov chain in continuum time -- g9.tThe trouble with the infinite -- gPt. 2.tIntroduction to Quantum Randomness -- g1.tClassical prologue -- g2.tStandard quantum mechanics -- g3.tProbabilities in standard quantum mechanics -- g4.tFeynman's approach to quantum probabilities -- g5.tSchrodinger's Euclidean quantum mechanics -- g6.tBeyond Feynman's approach -- g7.tTime for a dialogue.1 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 issues of quantum physics far beyond what is generally considered. The role of the time parameter, in this theory, is critically re-examined and a fresh way to approach the long-standing problem of the quantum time observable is suggested."--BOOK JACKET. 0aQuantum chaos. 0aRandom fields. 0aMathematical physics. 0aStochastic processes.1 aChung, Kai Lai,d1917-2009.1 aZambrini, Jean-Claude. 0aMonographs of the Portuguese Mathematical Society ;vv. 1.