| Title:
|
On mean value in $F$-quantum spaces (English) |
| Author:
|
Riečan, Beloslav |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
35 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
209-214 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
quantum mechanics |
| Keyword:
|
observables |
| Keyword:
|
states |
| Keyword:
|
probability |
| Keyword:
|
fuzzy sets |
| Keyword:
|
$F$-quantum space |
| Keyword:
|
indefinite integral of observables |
| MSC:
|
03E72 |
| MSC:
|
03G12 |
| MSC:
|
04A72 |
| MSC:
|
60A99 |
| MSC:
|
81C20 |
| MSC:
|
81P10 |
| idZBL:
|
Zbl 0719.60002 |
| idMR:
|
MR1052741 |
| DOI:
|
10.21136/AM.1990.104404 |
| . |
| Date available:
|
2008-05-20T18:39:13Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104404 |
| . |
| Reference:
|
[1] B. Riečan: A new approach to some notions of statistical quantum mechanics.Busefal 36, 1988, 4-6. |
| Reference:
|
[2] B. Riečan A. Dvurečenskij: On randomness and fuzziness.In: Progress in Fuzzy Sets in Europe, (Warszawa 1986), PAN, Warszawa 1988, 321-327. |
| Reference:
|
[3] A. Dvurečenskij B. Riečan: On joint distribution of observables for F-quantum spaces.Fuzzy Sets and Systems. MR 1089012 |
| Reference:
|
[4] A. Dvurečenskij B. Riečan: Fuzziness and commensurability.Fasciculi Mathematici. |
| Reference:
|
[5] A. Dvurečenskij F. Chovanec: Fuzzy quantum spaces and compatibility.Int. J. Theor. Phys. 27 (1988), 1069-1082. MR 0967421, 10.1007/BF00674352 |
| Reference:
|
[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. |
| Reference:
|
[7] A. Dvurečenskij A. Tirpáková: A note on a sum of observables in F-quantum spaces and its properties.Busefal 36 (1988), 132-137. |
| Reference:
|
[8] A. Dvurečenskij A. Tirpáková: Sum of observables in fuzzy quantum soaces and convergence theorems. |
| Reference:
|
[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. |
| Reference:
|
[10] A. Dvurečenskij: The Radon-Nikodým theorem for fuzzy probability spaces. |
| . |
