Aftermath of the Chernobyl Catastrophefrom the Point of View of the Security Conceptстатья
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Дата последнего поиска статьи во внешних источниках: 10 января 2020 г.
Аннотация:The paper deals with uncertainty relations for time and energy operators, and the
aftermath of the Chernobyl catastrophe is considered as an example. The mathematical approach
developed by Holevo is analyzed, which allows us to assign the corresponding observables to
non-self-adjoint operators and to establish uncertainty relations for nonstandard canonical con-
jugate pairs.
Relations for calculating the minimal time interval in which the energy jump can be discovered are given. Based on the intensity parameter introduced by the author, which is related to a special statistics called Gentile statistics and to the polylogarithm function, properties of stable chemical elements, such as time fluctuations and the jump of specific energy in the transition from the Bose–Einstein distribution to the Fermi–Dirac distribution, are mathematically described with regard to experimental data. The obtained data are arranged in a table for 255 stable chemical elements.
The mathematical approach developed by the author of the present paper allows one to describe
the “antipode” (in a certain sense) of the standard thermodynamics, i.e., the thermodynamics of
nuclearmatter. This field of nuclear physics is very important for the study of properties of radioactive elements and, accordingly, from the standpoint of ensuring nuclear safety.