https://doi.org/10.1140/epjp/s13360-022-02381-8
Regular Article
Classical, quantum and parastatistics as a function of a priori probabilities
1
National Aviation University MES of Ukraine, Lubomir Husar Ave. 1, 03058, Kyiv, Ukraine
2
Bogolyubov Institute for Theoretical Physics, NAS, Ukraine, Metrolohichna14-b, 03143, Kyiv, Ukraine
Received:
30
May
2021
Accepted:
12
January
2022
Published online:
1
February
2022
Analysis of the basic postulate of statistical physics suggests that both Bose–Einstein and Fermi–Dirac statistics, and random statistics may be derived from the condition that a priori probabilities in a special way depend on the population of the energetic level. The idea of variable a priori probabilities takes the theory beyond the limitations of the postulate of statistical physics about equal probabilities of microstates and does not use the basic requirement of the indistinguishability of particles. The assumed dependence of the a priori probability on the population of energy levels is employed to construct probable distribution functions. The difference of the distribution functions obtained in this way is shown to explain some features of the behavior of physical systems. The formal possibility of a “non-quantum” origin of quantum statistics makes it possible to legalize their application in a wide class macrosystems.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
