International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 17, Pages 2805-2820

Exponentiating derivations of quasi -algebras: possible approaches and applications

F. Bagarello,1 A. Inoue,2 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

Received 2 August 2004; Revised 4 March 2005

Copyright © 2005 F. Bagarello et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.