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

Eyre, Timothy M.W.

 
9783540648970: Quantum Stochastic Calculus and Representations of Lie Superalgebras: 1692 (Lecture Notes in Mathematics, 1692)
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.

"synopsis" may belong to another edition of 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.

"About this title" may belong to another edition of this title.

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