We discuss the possibility of defining an algebraic dynamics within the settings of O -algebras. Compared to our previous results on this subject, the main improvement here is that we are not assuming the existence of some Hamiltonian for the full physical system. We will show that, under suitable conditions, the dynamics can still be defined via some limiting procedure starting from a given regularized sequence. © 2008 American Institute of Physics.
BAGARELLO F (2008). $O^*$-algebras and quantum dynamics: some existence results. JOURNAL OF MATHEMATICAL PHYSICS, 49, 053522-1-053522-14 [10.1063/1.2919067].
$O^*$-algebras and quantum dynamics: some existence results
BAGARELLO, Fabio
2008-01-01
Abstract
We discuss the possibility of defining an algebraic dynamics within the settings of O -algebras. Compared to our previous results on this subject, the main improvement here is that we are not assuming the existence of some Hamiltonian for the full physical system. We will show that, under suitable conditions, the dynamics can still be defined via some limiting procedure starting from a given regularized sequence. © 2008 American Institute of Physics.
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