Quantum Stochastic Calculus and Representations of Lie Superalgebras

Beschreibung

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*in

Timothy M.W. Eyre

Themen in »Quantum Stochastic Calculus and Representations of Lie Superalgebras«

Chaotic expansion Lie superalgebra Quantum probability Quantum stochastic calculus Stochastic calculus Universal enveloping algebra

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