Overview

This book describes the forms of lie superalgebras yielded by a graded version of Hudson Parthasarathy quantum stochastic calculus. There is an introduction to quantum stochastic calculus and grading theory, extending readership to mathematicians and physicists with a basic knowledge of algebra and infinite dimensional Hilbert spaces. The development of an explicit formula for the chaotic expansion of a polynomial of quantum stochastic integrals is also looked into. This book aims to provide a self-contained exposition of what is known about Z2 graded quantum stochastic calculus and to provide a framework for future research into this fertile area.

Full Product Details

Author:   Timothy M.W. Eyre
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1998 ed.
Volume:   1692
Dimensions:   Width: 21.60cm , Height: 0.80cm , Length: 27.90cm
Weight:   0.520kg
ISBN:  

9783540648970

ISBN 10:   3540648976
Pages:   148
Publication Date:   17 September 1998
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Quantum stochastic calculus.- Z2-graded structures.- Representations of lie superalgebras in Z2-graded quantum stochastic calculus.- The ungraded higher order Ito product formula.- The Ito superalgebra.- Some results in Z2-graded quantum stochastic calculus.- Chaotic expansions.- Extensions.

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