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Quantum Stochastic Calculus and Representations of Lie Superalgebras

Medium: Buch
ISBN: 978-3-540-64897-0
Verlag: Springer Berlin Heidelberg
Erscheinungstermin: 17.09.1998
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9783540648970
  • Medium: Buch
  • ISBN: 978-3-540-64897-0
  • Verlag: Springer Berlin Heidelberg
  • Erscheinungstermin: 17.09.1998
  • Sprache(n): Englisch
  • Auflage: 1998
  • Serie: Lecture Notes in Mathematics
  • Produktform: Kartoniert
  • Gewicht: 248 g
  • Seiten: 148
  • Format (B x H x T): 155 x 235 x 9 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.