https://doi.org/10.1140/epjp/s13360-022-03102-x
Regular Article
Stochastic state-transition-change process and particle physics
Institute of Physics of the Czech Academy of Sciences, Na Slovance 2, 18221, Prague 8, Czech Republic
Received:
22
April
2022
Accepted:
23
July
2022
Published online:
24
August
2022
The description of particle phenomena is important for basically all fields of physics. The contemporary theoretical statistical description of a particle phenomenon typically requires knowledge of the Hamiltonian of the system, cross sections or other information concerning various microscopic processes. However, this knowledge may not be available and need to be determined first on the basis of experimental data. Moreover, the diverse hitherto theoretical approaches are either restricted to relatively very small class of particle phenomena or are not easily usable for analysis of experimental data. Therefore, new state-transition-change (STC) stochastic process is proposed. STC stochastic process satisfies Markov property and opens up new possibilities for obtaining in unified way deeper insight to experiments having independent outcomes. With its help it is possible to determine probability density functions characterizing states of a system and probabilities of transitions of the states on the basis of experimental data. For example, in the context of particle physics it allows to describe in unified way particle decays, random motion of particles, particle–matter interactions (such as transmission of light, laser beam, through various optical elements), as well as particle–particle interactions (collisions). Not all particle experiments satisfy the assumptions of STC stochastic process, but broad class of particle experiments can be analyzed with its help.
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