Introduction to Random Time and Quantum Randomness

Monographs of the Portuguese Mathematical Society

Kai Lai Chung, J.-C. Zambrini

212 pages, parution le 17/09/2003

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Résumé

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.

Introduction to Random Time:

Prologue
Stopping Time
Martingale Stopped
Random Past and Future
Other Times
From First to Last
Gapless Time
Markov Chain in Continuum Time
The Trouble with the Infinite

Introduction to Quantum Randomness:

Classical Prologue
Standard Quantum Mechanics
Probabilities in Standard Quantum Mechanics
Feynman's Approach to Quantum Probabilities
Schrödinger's Euclidean Quantum Mechanics
Beyond Feynman's Approach
Time for a Dialogue

L'auteur - Kai Lai Chung

Stanford University, CA, USA

L'auteur - J.-C. Zambrini

Universidade de Lisboa, Portugal

Caractéristiques techniques

	PAPIER
Éditeur(s)	World Scientific
Auteur(s)	Kai Lai Chung, J.-C. Zambrini
Parution	17/09/2003
Nb. de pages	212
Format	15 x 22,5
Couverture	Broché
Poids	400g
Intérieur	Noir et Blanc
EAN13	9789812384157