Quantum stochastic calculus and representations of Lie superalgebras
Author(s)
Bibliographic Information
Quantum stochastic calculus and representations of Lie superalgebras
（Lecture notes in mathematics, 1692）
Springer, c1998
Available at / 87 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1692RM981013
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:519/Ey642070453043
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
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.
Table of Contents
Quantum stochastic calculus.- Z2-graded structures.- Representations of lie superalgebras in Z2-graded quantum stochastic calculus.- The ungraded higher order Ito product formula.- The Ito superalgebra.- Some results in Z2-graded quantum stochastic calculus.- Chaotic expansions.- Extensions.
by "Nielsen BookData"
