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@article{1368605, author = {Chajda, Ivan and Paseka, Jan}, article_location = {OXFORD}, article_number = {3}, keywords = {physical system; transition relation; transition operators; states; complete lattice; transition frame}, language = {eng}, issn = {0034-4877}, journal = {Reports on Mathematical Physics}, title = {TRANSITION OPERATORS ASSIGNED TO PHYSICAL SYSTEMS}, volume = {78}, year = {2016} }
TY - JOUR ID - 1368605 AU - Chajda, Ivan - Paseka, Jan PY - 2016 TI - TRANSITION OPERATORS ASSIGNED TO PHYSICAL SYSTEMS JF - Reports on Mathematical Physics VL - 78 IS - 3 SP - 259-280 EP - 259-280 PB - PERGAMON-ELSEVIER SCIENCE LTD SN - 00344877 KW - physical system KW - transition relation KW - transition operators KW - states KW - complete lattice KW - transition frame N2 - 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. ER -
CHAJDA, Ivan a Jan PASEKA. TRANSITION OPERATORS ASSIGNED TO PHYSICAL SYSTEMS. \textit{Reports on Mathematical Physics}. OXFORD: PERGAMON-ELSEVIER SCIENCE LTD, 2016, roč.~78, č.~3, s.~259-280. ISSN~0034-4877.
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