Quantum dynamics and algebras of unbounded operators

Gerd Laßner

Carlos M. Mora

Fabio Bagarello

In this paper we discuss some physical applications of topological*-algebras of unbounded operators. The first example is a simple system of free bosons. Then we consider other models related to this one. Finally, we discuss the time evolution of two interacting models of matter and bosons. We show that for all these systems it is possible to build up a common mathematical framework where the existence of the thermodynamical limit of the algebraic dynamics can be conveniently analyzed.

Daniele Amato, Paolo Facchi A, Arturo Konderak

Lev Deych

Fabio Bagarello

In this paper we discuss some applications of topological *-algebras of unbounded operators to what we call Modified Quons (MQ). In particular, the existence of the thermodynamical limit for some models of free and interacting modified quons is proved in the same framework proposed by the author in a recent paper for ordinary bosons.