# Concrete quantum logics with generalised compatibility

Mathematica Bohemica (1998)

- Volume: 123, Issue: 2, page 213-218
- ISSN: 0862-7959

## Access Full Article

top## Abstract

top## How to cite

topTkadlec, Josef. "Concrete quantum logics with generalised compatibility." Mathematica Bohemica 123.2 (1998): 213-218. <http://eudml.org/doc/248303>.

@article{Tkadlec1998,

abstract = {We present three results stating when a concrete (=set-representable) quantum logic with covering properties (generalization of compatibility) has to be a Boolean algebra. These results complete and generalize some previous results [3, 5] and answer partiallz a question posed in [2].},

author = {Tkadlec, Josef},

journal = {Mathematica Bohemica},

keywords = {orthomodular poset; concrete quantum logic; Boolean algebra; covering; Jauch-Piron state; orthocompleteness; orthomodular poset; concrete quantum logic; Boolean algebra},

language = {eng},

number = {2},

pages = {213-218},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Concrete quantum logics with generalised compatibility},

url = {http://eudml.org/doc/248303},

volume = {123},

year = {1998},

}

TY - JOUR

AU - Tkadlec, Josef

TI - Concrete quantum logics with generalised compatibility

JO - Mathematica Bohemica

PY - 1998

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 123

IS - 2

SP - 213

EP - 218

AB - We present three results stating when a concrete (=set-representable) quantum logic with covering properties (generalization of compatibility) has to be a Boolean algebra. These results complete and generalize some previous results [3, 5] and answer partiallz a question posed in [2].

LA - eng

KW - orthomodular poset; concrete quantum logic; Boolean algebra; covering; Jauch-Piron state; orthocompleteness; orthomodular poset; concrete quantum logic; Boolean algebra

UR - http://eudml.org/doc/248303

ER -

## References

top- S. P. Gudder, Stochastic Methods in Quantum Mechanics, North Holland, New York, 1979. (1979) Zbl0439.46047MR0543489
- V. Müller, 10.1007/BF00673353, Int. J. Theor. Phys. 32 (1993), 433-442. (1993) MR1213098DOI10.1007/BF00673353
- V. Müller P. Pták J. Tkаdlec, 10.1007/BF00678549, Int. J. Theor. Phys. 31 (1992), 843-854. (1992) MR1162627DOI10.1007/BF00678549
- M. Nаvаrа P. Pták, 10.1016/0022-4049(89)90108-4, J. Pure Appl. Algebra 60 (1989), 105-111. (1989) MR1014608DOI10.1016/0022-4049(89)90108-4
- P. Pták, Some nearly Boolean orthomodular posets, Proc. Amer. Math. Soc. To appear. MR1452822
- P. Pták S. Pulmаnnová, Orthomodular Structures as Quantum Logics, Kluwer, Dordrecht, 1991. (1991) MR1176314
- J. Tkаdlec, Boolean orthoposets-concreteness and orthocompleteness, Math. Bohem. 119 (1994), 123-128. (1994) MR1293244
- J. Tkаdlec, Conditions that force an orthomodular poset to be a Boolean algebra, Tatra Mt. Math. Publ. 10 (1997), 55-62. (1997) MR1469281

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.