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＜電子ブック＞
Quantum Stochastic Calculus and Representations of Lie Superalgebras / by Timothy M.W. Eyre
(Lecture Notes in Mathematics. ISSN:16179692 ; 1692)

版	1st ed. 1998.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1998
本文言語	英語
大きさ	VIII, 148 p : online resource
著者標目	*Eyre, Timothy M.W author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Spintronics LCSH:Quantum physics LCSH:Topological groups LCSH:Lie groups FREE:Probability Theory FREE:Spintronics FREE:Quantum Physics FREE:Topological Groups and Lie Groups
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/BFb0096850

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