Publication details

How to Produce S-Tense Operators on Lattice Effect Algebras

Authors

CHAJDA Ivan JANDA Jiří PASEKA Jan

Year of publication 2014
Type Article in Periodical
Magazine / Source Foundations of Physics
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1007/s10701-014-9818-9
Field General mathematics
Keywords Effect algebra; MV-algebra; Complete lattice; Tense operator; S-tense operator; Jauch-Piron E-state; Jauch-Piron E-semi-state
Description 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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