1.

Record Nr.

UNINA9910821249703321

Titolo

Introduction to random time and quantum randomness [[electronic resource] /] / Kai Lai Chung, Jean-Claude Zambrini

Pubbl/distr/stampa

River Edge, N.J., : World Scientific, c2003

ISBN

1-281-93560-3

9786611935603

981-279-517-0

Edizione

[New ed.]

Descrizione fisica

1 online resource (225 p.)

Collana

Monographs of the Portuguese Mathematical Society ; ; v. 1

Altri autori (Persone)

ChungKai Lai <1917-2009.>

ZambriniJean-Claude

Disciplina

530.12

530.15192

Soggetti

Quantum chaos

Random fields

Mathematical physics

Stochastic processes

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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 times

6 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

3 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

5.1 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

Sommario/riassunto

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