ENGLISH

Quantum Stochastic Calculus and Representations of Lie Superalgebras

By Timothy M. W. Eyre (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1998
ISBN
3540648976, 9783540648970
DOI
10.1007/BFb0096850
ISSN
0075-8434
LCC
QA3 .L28 no. 1692,QC174.17.S6 .L28 no. 1692
Open Library ID
OL376772M
Language
english
Format
DJVU
Filesize
787 kB (806309 bytes)
Series
Lecture Notes in Mathematics 1692
Edition
1
Pages
148\141
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11
Information and Physics; Quantum Physics; TopologiLie GroupsProbability Theory and Stochastic Processes; Quant

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.

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