Quantum Stochastic Calculus and Representations of Lie Superalgebras

• Main Author: Eyre, Timothy M.W (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Edition: 1st ed. 1998.
• Series: Lecture Notes in Mathematics, 1692
• Subjects: Probabilities.; Quantum computers.; Spintronics.; Quantum physics.; Topological groups.; Lie groups.; Probability Theory and Stochastic Processes.; Quantum Information Technology, Spintronics.; Quantum Physics.; Topological Groups, Lie Groups.

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 kn...

Table of Contents:

• 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.