Lecture Notes in Mathematics

Eyre, Timothy M.W.

This book describes the representations of Lie superalgebras that are yielded by a graded version of Hudson-Parthasarathy quantum stochastic calculus. Quantum stochastic calculus and grading theory are given concise introductions, extending readership to mathematicians and physicists with a basic knowledge of algebra and infinite-dimensional Hilbert spaces. The develpment of an explicit formula for the chaotic expansion of a polynomial of quantum stochastic integrals is particularly interesting. The book aims to provide a self-contained exposition of what is known about Z_2-graded quantum stochastic calculus and to provide a framework for future research into this new and fertile area.

Details

Published by: Springer

Publication Date: 1998-09-17

Format: Paperback

ISBN-13: 9783540648970

DOI: 10.1007/BFb0096850

Dimensions: 279cm x216cm

Pages: 148