$O^\star$-algebras and quantum dynamics: some existence results
Mathematical Physics
2009-04-01 v1 math.MP
Abstract
We discuss the possibility of defining an algebraic dynamics within the settings of -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}.
Cite
@article{arxiv.0903.5458,
title = {$O^\star$-algebras and quantum dynamics: some existence results},
author = {Fabio Bagarello},
journal= {arXiv preprint arXiv:0903.5458},
year = {2009}
}