Exponentiating derivations of quasi *-algebras: possible approaches and applications

TL;DR

This paper explores methods to exponentiate derivations in quasi *-algebras, aiming to determine the time evolution of physical systems, especially when observables form a CQ*-algebra.

Contribution

It introduces approaches for exponentiating derivations in quasi *-algebras and analyzes their application to physical system evolution.

Findings

Methods for exponentiating derivations are proposed.

Application to CQ*-algebras is demonstrated.

Potential for modeling time evolution in quantum systems.

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.