The Kolmogorov–Feller equation and the probabilistic model of quantum mechanics
Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", Tome 19 (1982), pp. 55-84
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The survey is devoted to generalizations of the modern theory of measurement and the probabilistic interpretation of quantum-mechanical quantities. The relation between the quasidispersion and dispersion of indirect measurements is discussed. An example is presented of a dynamical system with random parameters averaging with respect to which is equivalent to averaging of an appropriate pseudodifferential operator relative to a certain quantum-mechanical function of state.
@article{INTV_1982_19_a1,
author = {V. P. Maslov},
title = {The {Kolmogorov{\textendash}Feller} equation and the probabilistic model of quantum mechanics},
journal = {Itogi nauki i tehniki. Seri\^a, Teori\^a vero\^atnostej. Matemati\v{c}eska\^a statistika. Teoreti\v{c}eska\^a kibernetika},
pages = {55--84},
year = {1982},
volume = {19},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTV_1982_19_a1/}
}
TY - JOUR AU - V. P. Maslov TI - The Kolmogorov–Feller equation and the probabilistic model of quantum mechanics JO - Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika PY - 1982 SP - 55 EP - 84 VL - 19 UR - http://geodesic.mathdoc.fr/item/INTV_1982_19_a1/ LA - ru ID - INTV_1982_19_a1 ER -
%0 Journal Article %A V. P. Maslov %T The Kolmogorov–Feller equation and the probabilistic model of quantum mechanics %J Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika %D 1982 %P 55-84 %V 19 %U http://geodesic.mathdoc.fr/item/INTV_1982_19_a1/ %G ru %F INTV_1982_19_a1
V. P. Maslov. The Kolmogorov–Feller equation and the probabilistic model of quantum mechanics. Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", Tome 19 (1982), pp. 55-84. http://geodesic.mathdoc.fr/item/INTV_1982_19_a1/