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.

Bibliographic Information

Book Title: Quantum Stochastic Calculus and Representations of Lie Superalgebras
Authors: Timothy M. W. Eyre
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0096850
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1998
Softcover ISBN: 978-3-540-64897-0Published: 17 September 1998
eBook ISBN: 978-3-540-68385-8Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 148
Topics: Probability Theory and Stochastic Processes, Quantum Information Technology, Spintronics, Quantum Physics, Topological Groups, Lie Groups

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Quantum Stochastic Calculus and Representations of Lie Superalgebras

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