Investigation of a generalized representation theorem in the framework of quantum axiomatics with references to dynamics.

In earlier research was proven that an additional axiom called plane transitivity allows to prove the full representation theorem of Piron-Soler if also the traditional axioms, i.e. completeness, orthocomplementation, atomicity, weak modularity and the covering law, are supposed to be satisfied. In the present project we want to investigate the generalization of this enlarged quantum axiomatics with respect to dynamics.