Quantum Stochastic Calculus and Representations of Lie Superalgebras: 1692 (Lecture Notes in Mathematics, 1692) - Softcover

Eyre, Timothy M.W.

Softcover

ISBN 10: 3540648976 ISBN 13: 9783540648970

Publisher: Springer, 1998

Synopsis

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.

About this title

Synopsis

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.

Edition details

• Publisher: Springer
• Publication date: 1998
• Language: English
• ISBN 10: 3540648976
• ISBN 13: 9783540648970
• Binding: Paperback
• Number of pages: 156