Quantum Stochastic Calculus and Representations of Lie Superalgebras

By Timothy M.W. Eyre

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.

• Format: Paperback
• Language: English
• ISBN: 3540648976
• ISBN13: 9783540648970
• Release Date: September 1998
• Publisher: Springer
• Length: 148 Pages
• Weight: 0.51 lbs.
• Dimensions: 0.3" x 6.1" x 9.2"