Quantum Stochastic Calculus and Representations of Lie Superalgebras

von Timothy M.W. Eyre

148 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540648970
• Sprache: Englisch
• Erscheinungsdatum: 17.09.1998
• Genre: Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
• Verlag: Springer Berlin