The paper deals with a new mathematical model for quantum mechanics based on the fuzzy set theory [1]. The indefinite integral of observables is defined and some basic properties of the integral are examined.
@article{104404,
author = {Beloslav Rie\v can},
title = {On mean value in $F$-quantum spaces},
journal = {Applications of Mathematics},
volume = {35},
year = {1990},
pages = {209-214},
zbl = {0719.60002},
mrnumber = {1052741},
language = {en},
url = {http://dml.mathdoc.fr/item/104404}
}
Riečan, Beloslav. On mean value in $F$-quantum spaces. Applications of Mathematics, Tome 35 (1990) pp. 209-214. http://gdmltest.u-ga.fr/item/104404/
A new approach to some notions of statistical quantum mechanics, Busefal 36, 1988, 4-6. (1988)
On randomness and fuzziness, In: Progress in Fuzzy Sets in Europe, (Warszawa 1986), PAN, Warszawa 1988, 321-327. (1986)
On joint distribution of observables for F-quantum spaces, Fuzzy Sets and Systems. | MR 1089012
Fuzziness and commensurability, Fasciculi Mathematici.
Fuzzy quantum spaces and compatibility, Int. J. Theor. Phys. 27 (1988), 1069-1082. (1988) | Article | MR 0967421
On a sum of observables in F-quantum spaces and its applications to convergence theorems, In: Proc. of the First Winter School on Measure Theory (Liptovský Ján 1988), 68-76. (1988)
A note on a sum of observables in F-quantum spaces and its properties, Busefal 36 (1988), 132-137. (1988)
Sum of observables in fuzzy quantum soaces and convergence theorems
On the extension of fuzzy P-measure generated by outer measure, In: Proc. 2nd Napoli Meeting on the Mathematics of Fuzzy Systems 1985, 119-135. (1985)
The Radon-Nikodým theorem for fuzzy probability spaces