Author	Eyre, Timothy M. W. author
Title	Quantum Stochastic Calculus and Representations of Lie Superalgebras [electronic resource] / by Timothy M. W. Eyre
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 1998
Connect to	http://dx.doi.org/10.1007/BFb0096850
Descript	VIII, 148 p. online resource

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

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

1. Mathematics
2. Topological groups
3. Lie groups
4. Probabilities
5. Quantum physics
6. Quantum computers
7. Spintronics
8. Mathematics
9. Probability Theory and Stochastic Processes
10. Quantum Information Technology
11. Spintronics
12. Quantum Physics
13. Topological Groups
14. Lie Groups