E-Book, Englisch, Band 1692, 148 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Eyre Quantum Stochastic Calculus and Representations of Lie Superalgebras
Erscheinungsjahr 2006
ISBN: 978-3-540-68385-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1692, 148 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-68385-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
