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

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

2009-03-31

arxiv.org/abs/0903.5458v1

J. Math. Phys., 49 (2008)

Physics

Mathematical Physics

Scientific paper

10.1063/1.2919067

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}.

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