Quantum stochastic calculus and representations of Lie superalgebras
By: Timothy M.W. Eyre.
Series: Lecture notes in mathematics,; 1692; Lecture notes in mathematics (Springer-Verlag) ;; 1692.
Publisher: Springer
Published: 1998
Place of publication: Berlin; New York
Language: eng
Number of pages: 138
Subjects: Stochastic processes; Quantum theory; Mathematical physics
Description: 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.
Notes: Includes bibliographical references (p. [133]-134) and index.