Ergodic Hypothesis and Equilibrium Statistical Mechanics in the Quantum Mechanical World View

HTML  Download Download as PDF (Size: 200KB)  PP. 125-130  
DOI: 10.4236/wjm.2012.22014    6,335 Downloads   11,504 Views  Citations
Author(s)

ABSTRACT

In this paper, we study and answer the following fundamental problems concerning classical equilibrium statistical mechanics: 1): Is the principle of equal a priori probabilities indispensable for equilibrium statistical mechanics? 2): Is the ergodic hypothesis related to equilibrium statistical mechanics? Note that these problems are not yet answered, since there are several opinions for the formulation of equilibrium statistical mechanics. In order to answer the above questions, we first introduce measurement theory (i.e., the theory of quantum mechanical world view), which is characterized as the linguistic turn of quantum mechanics. And we propose the measurement theoretical foundation of equili-brium statistical mechanics, and further, answer the above 1) and 2), that is, 1) is “No”, but, 2) is “Yes”.

Share and Cite:

S. Ishikawa, "Ergodic Hypothesis and Equilibrium Statistical Mechanics in the Quantum Mechanical World View," World Journal of Mechanics, Vol. 2 No. 2, 2012, pp. 125-130. doi: 10.4236/wjm.2012.22014.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.