Quantum Stochastic Processes and Noncommutative Geometry - Couverture rigide

Sinha, Kalyan B.; Goswami, Debashish

Couverture rigide

ISBN 10 : 0521834503 ISBN 13 : 9780521834506

Editeur : Cambridge University Press, 2007

Synopsis

The classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; analogously quantum stochastic processes can be used to model the dynamics of irreversible quantum systems. Noncommutative, i.e. quantum, geometry provides a framework in which quantum stochastic structures can be explored. This book is the first to describe how these two mathematical constructions are related. In particular, key ideas of semigroups and complete positivity are combined to yield quantum dynamical semigroups (QDS). Sinha and Goswami also develop a general theory of Evans-Hudson dilation for both bounded and unbounded coefficients. The unique features of the book, including the interaction of QDS and quantum stochastic calculus with noncommutative geometry and a thorough discussion of this calculus with unbounded coefficients, will make it of interest to graduate students and researchers in functional analysis, probability and mathematical physics.

A propos du livre

À propos des auteurs

Kalyan Sinha is a Distinguished Scientist in the Statistics-Mathematics Unit at the Indian Statistical Institute, New Dehli.

Debashish Goswami is an Assistant Professor in the Statistics-Mathematics Unit at the Indian Statistical Institute, Kolkata.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2007
• Langue: anglais
• ISBN 10: 0521834503
• ISBN 13: 9780521834506
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 300
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France