000 02691pam a22003734a 4500
001 4175815
005 20210414113931.0
008 030509s2003 nju b 001 0 eng
010 _a 2003053533
020 _a9812383883
020 _a9812384154 (pbk.)
035 _a(OCoLC)ocm52257546
035 _a(NNC)4175815
040 _aDLC
_cDLC
_dYDX
_dOrLoB-B
042 _apcc
050 0 0 _aQC174.17.C45I62
082 0 0 _a530.12
_221
245 0 0 _aIntroduction to random time and quantum randomness. /
_cKai Lai Chung, Jean-Claude Zambrini.
260 _aRiver Edge, N.J. :
_bWorld Scientific,
_cc2003.
300 _axii, 211 p. ;
_c24cm.
490 1 _aMonographs of the Portuguese Mathematical Society ;
_vv. 1
504 _aIncludes bibliographical references and index.
505 0 0 _tContents: 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.
520 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.
650 0 _aQuantum chaos.
650 0 _aRandom fields.
650 0 _aMathematical physics.
650 0 _aStochastic processes.
700 1 _aChung, Kai Lai,
_d1917-2009.
700 1 _aZambrini, Jean-Claude.
830 0 _aMonographs of the Portuguese Mathematical Society ;
_vv. 1.
900 _bTOC
942 _2lcc
_cBK
999 _c783
_d8283