Abstract

Many-particle systems contained inside other particles (problem 1), as well as systems of particles delimited inside other particles, which, in turn, are delimited inside the third particles (problem 2), are considered. Under natural assumptions about conserved quantities such as the total number of all particles, the total energy, and a number of others, the most probable energy distributions of particles, true (internal) and external observables, are studied. The results of problems 1 and 2 can be interpreted as the separation of bottom level particles into kinds with different distributions observed in different experiments. In single-particle observations in the full probability problem 1, an effective Pauli principle arises in a consistent manner.

中文翻译：

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具有层次结构的多粒子系统的统计性质

摘要

考虑了包含在其他粒子内部的多粒子系统（问题1）以及在其他粒子内部定界的粒子系统，这些粒子系统又在第三粒子内部定界了（问题2）。在关于守恒量的自然假设下，例如所有粒子的总数，总能量以及许多其他假设，研究了最可能的粒子能量分布，即真实的（内部的）和外部的可观察物。问题1和问题2的结果可以解释为在不同的实验中观察到的底层颗粒分离为具​​有不同分布的种类。在全概率问题1中的单粒子观测中，有效的保利原理以一致的方式出现。