Advertisement

© 1998

Quantum Stochastic Calculus and Representations of Lie Superalgebras

  • Authors
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1692)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Timothy M. W. Eyre
    Pages 1-6
  3. Timothy M. W. Eyre
    Pages 7-21
  4. Timothy M. W. Eyre
    Pages 23-31
  5. Timothy M. W. Eyre
    Pages 51-57
  6. Timothy M. W. Eyre
    Pages 59-75
  7. Timothy M. W. Eyre
    Pages 101-112
  8. Timothy M. W. Eyre
    Pages 113-132
  9. Back Matter
    Pages 133-139

About this book

Introduction

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.

Keywords

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

Bibliographic information

Industry Sectors
Pharma
Biotechnology
IT & Software
Telecommunications
Finance, Business & Banking
Electronics
Energy, Utilities & Environment
Aerospace
Oil, Gas & Geosciences
Engineering