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Quantum Stochastic Calculus and Representations of Lie Superalgebras

Timothy M. W. Eyre
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.
Autor: Eyre, Timothy M. W.
EAN: 9783540648970
Sprache: Englisch
Seitenzahl: 148
Produktart: kartoniert, broschiert
Verlag: Springer Springer, Berlin Springer Berlin Heidelberg
Schlagworte: Liesche Algebren/Gruppen Quantenstatistik
Größe: 7 × 156 × 239
Gewicht: 266 g