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How to Produce S-Tense Operators on Lattice Effect Algebras

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CHAJDA Ivan JANDA Jiří PASEKA Jan

Rok publikování 2014
Druh Článek v odborném periodiku
Časopis / Zdroj Foundations of Physics
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
Doi http://dx.doi.org/10.1007/s10701-014-9818-9
Obor Obecná matematika
Klíčová slova Effect algebra; MV-algebra; Complete lattice; Tense operator; S-tense operator; Jauch-Piron E-state; Jauch-Piron E-semi-state
Popis Tense operators in effect algebras play a key role for the representation of the dynamics of formally described physical systems. For this, it is important to know how to construct them on a given effect algebra and how to compute all possible pairs of tense operators on . However, we firstly need to derive a time frame which enables these constructions and computations. Hence, we usually apply a suitable set of states of the effect algebra in question. To approximate physical reality in quantum mechanics, we use only the so-called Jauch-Piron states on in our paper. To realize our constructions, we are restricted on lattice effect algebras only.

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