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Statistical ensembles and X-probability

2011/08/17 by V. A. Skrebnev, Skrebnev, V. A.
Computer Science · Physics and Astronomy · #Advanced Clustering Algorithms Research #Data Mining Algorithms and Applications #FOS: Physical sciences #Neural Networks and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1108.3963

9 pages

arxiv created 2011/08/17 · openalex publication_date 2011/08/17 · arxiv updated 2011/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show insurmountable contradictions which arise if statistical ensembles are considered a consequence of the influence of the environment of the physical systems. We regard the multiplicity of states with a definite energy value as a result of internal probabilistic processes in the macrosystem; these internal probabilistic processes are not taken into account by quantum mechanics. On a simple example it is demonstrated, that canonical distribution is not independent and equal to microcanonical one, but is a result of averaging by microcanonical ensemble.

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