Title: Quantum stochastic calculus and representations of Lie superalgebras
First published: 1998
Description: 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.
Subjects: Stochastic processes, Quantum theory, Mathematical physics, Mathematics, Distribution (Probability theory), Topological Groups, Quantum computing, Probability Theory and Stochastic Processes, Information and Physics Quantum Computing, Lie Groups Topological Groups
LC classification: QA3 .L28 no. 1692, QC174.17.S6 .L28 no. 1692