International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 17, Pages 2805-2820
doi:10.1155/IJMMS.2005.2805
Exponentiating derivations of quasi ∗-algebras: possible approaches and applications
F. Bagarello1
, A. Inoue2
and C. Trapani3
1Dipartimento diMetodi eModelliMatematici, Facoltà di Ingegneria, Università degli Studi di Palermo, viale delle Scienze, Palermo 90128, Italy
2Department of Applied Mathematics, Faculty of Sciences, Fukuoka University, Fukuoka 814-0180, Japan
3Dipartimento di Matematica ed Applicazioni, Università degli Studi di Palermo, via Archirafi 34, Palermo 90123, Italy
Abstract
The problem of exponentiating derivations of quasi ∗-algebras is considered in view of applying it to the determination of the time evolution of a physical system. The particular case where observables constitute a proper CQ∗-algebra is analyzed.