On mean value in F -quantum spaces

Beloslav Riečan

Aplikace matematiky (1990)

  • Volume: 35, Issue: 3, page 209-214
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Riečan, Beloslav. "On mean value in $F$-quantum spaces." Aplikace matematiky 35.3 (1990): 209-214. <http://eudml.org/doc/15625>.

@article{Riečan1990,
abstract = {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.},
author = {Riečan, Beloslav},
journal = {Aplikace matematiky},
keywords = {quantum mechanics; observables; states; probability; fuzzy sets; $F$-quantum space; indefinite integral of observables; observable; fuzzy set; F-quantum space; indefinite integral of observables},
language = {eng},
number = {3},
pages = {209-214},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On mean value in $F$-quantum spaces},
url = {http://eudml.org/doc/15625},
volume = {35},
year = {1990},
}

TY - JOUR
AU - Riečan, Beloslav
TI - On mean value in $F$-quantum spaces
JO - Aplikace matematiky
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 3
SP - 209
EP - 214
AB - 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.
LA - eng
KW - quantum mechanics; observables; states; probability; fuzzy sets; $F$-quantum space; indefinite integral of observables; observable; fuzzy set; F-quantum space; indefinite integral of observables
UR - http://eudml.org/doc/15625
ER -

References

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  1. B. Riečan, A new approach to some notions of statistical quantum mechanics, Busefal 36, 1988, 4-6. (1988) 
  2. B. Riečan A. Dvurečenskij, On randomness and fuzziness, In: Progress in Fuzzy Sets in Europe, (Warszawa 1986), PAN, Warszawa 1988, 321-327. (1986) 
  3. A. Dvurečenskij B. Riečan, On joint distribution of observables for F-quantum spaces, Fuzzy Sets and Systems. MR1089012
  4. A. Dvurečenskij B. Riečan, Fuzziness and commensurability, Fasciculi Mathematici. 
  5. A. Dvurečenskij F. Chovanec, 10.1007/BF00674352, Int. J. Theor. Phys. 27 (1988), 1069-1082. (1988) MR0967421DOI10.1007/BF00674352
  6. A. Tirpáková, 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) 
  7. A. Dvurečenskij A. Tirpáková, A note on a sum of observables in F-quantum spaces and its properties, Busefal 36 (1988), 132-137. (1988) 
  8. A. Dvurečenskij A. Tirpáková, Sum of observables in fuzzy quantum soaces and convergence theorems 
  9. K. Piasecki, 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) 
  10. A. Dvurečenskij, The Radon-Nikodým theorem for fuzzy probability spaces 

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