TRANSITION OPERATORS ASSIGNED TO PHYSICAL SYSTEMS

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Authors	CHAJDA Ivan PASEKA Jan
Year of publication	2016
Type	Article in Periodical
Magazine / Source	Reports on Mathematical Physics
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	physical system; transition relation; transition operators; states; complete lattice; transition frame
Attached files	Transition_operators_assigned_to_physical_systems_Chajda_Paseka__Rep_Math_Phys_2016_.pdf
Description	By a physical system we recognize a set of propositions about a given system with their truth values depending on the states of the system. Since every physical system can go from one state to another one, there exists a binary relation on the set of states describing this transition. Our aim is to assign to every such system an operator on the set of propositions which is fully determined by the mentioned relation. We establish conditions under which the given relation can be recovered by means of this transition operator.
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