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Quantum Stochastic Calculus and Representations of Lie Superalgebras

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 kn...

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Bibliographic Details
Main Author: Eyre, Timothy M.W.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1998, 1998
Edition:1st ed. 1998
Series:Lecture Notes in Mathematics
Subjects:
Quantum Physics
Spintronics
Topological Groups And Lie Groups
Lie Groups
Topological Groups
Probability Theory
Probabilities
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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505 0 |a 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 
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653 |a Topological groups 
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653 |a Probabilities 
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520 |a 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 

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