Quantum Probability, Renormalization and Infinite-Dimensional -Lie Algebras

Quantum Probability, Renormalization and Infinite-Dimensional -Lie Algebras

The present paper reviews some intriguing connections which link together a new renormalization technique, the theory of *-representations of infinite dimensional *-Lie algebras, quantum probability, white noise and stochastic calculus and the theory of classical and quantum infinitely divisible pro...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2009-01, Vol.5, p.056
1. Verfasser: Accardi, Luigi
Format: Artikel
Sprache:eng
Schlagworte:
central extension of a Lie algebra
infinite dimensional Lie algebra
infinitely divisible process
Meixner classes
quantum decomposition
quantum probability
quantum white noise
renormalization
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The present paper reviews some intriguing connections which link together a new renormalization technique, the theory of *-representations of infinite dimensional *-Lie algebras, quantum probability, white noise and stochastic calculus and the theory of classical and quantum infinitely divisible processes.
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2009.056