Quantum stochastic calculus and representations of Lie superalgebras

Bibliographic Information

Quantum stochastic calculus and representations of Lie superalgebras

Timothy M.W. Eyre

(Lecture notes in mathematics, 1692)

Springer, c1998

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Note

Includes bibliographical references and index

Description and Table of Contents

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.

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.

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Details

  • NCID
    BA37981026
  • ISBN
    • 3540648976
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    viii, 138 p.
  • Size
    24 cm
  • Classification
  • Parent Bibliography ID
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