Quantum Stochastic Calculus and Representations of Lie Superalgebras

• Main Author: Eyre, Timothy M.W (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Edition: 1st ed. 1998.
• Series: Lecture Notes in Mathematics, 1692
• Subjects: Probabilities.; Quantum computers.; Spintronics.; Quantum physics.; Topological groups.; Lie groups.; Probability Theory and Stochastic Processes.; Quantum Information Technology, Spintronics.; Quantum Physics.; Topological Groups, Lie Groups.
• Physical Description: VIII, 148 p. online resource.
• ISBN: 9783540683858
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0096850

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.