Timothy M. W. Eyre

Quantum Stochastic Calculus and Representations of Lie Superalgebras

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Lecture Notes in Mathematics 1692
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-64897-0
• 1998.
• Seitenzahl: 156
• Erscheinungstermin: 17. September 1998
• Englisch
• Abmessung: 235mm x 155mm x 9mm
• Gewicht: 266g
• ISBN-13: 9783540648970
• ISBN-10: 3540648976
• Artikelnr.: 09205854

Inhaltsangabe

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.