Quantum Stochastic Calculus and Representations of Lie Superalgebras
(Sprache: Englisch)
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...
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Klappentext zu „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 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.
Inhaltsverzeichnis zu „Quantum Stochastic Calculus and Representations of Lie Superalgebras “
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.
Bibliographische Angaben
- Autor: Timothy M. W. Eyre
- 1998, 1998, 148 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 3540648976
- ISBN-13: 9783540648970
- Erscheinungsdatum: 17.09.1998
Sprache:
Englisch
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