$O^{\star }$-algebras and quantum dynamics: some existence results

Abstract

We discuss the possibility of defining an algebraic dynamics within the settings of $O^{\star }$-algebras. Compared with our previous results on this subject, the main improvement here is that we are not assuming the existence of some hamiltonian for the {\em full} physical system. We will show that, under suitable conditions, the dynamics can still be defined via some limiting procedure starting from a given {\em regularized sequence}.

References in corpus (1)

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