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Tan Liyang. On Axiomatical Hypotheses of Classical and Quantum Statistical Mechanics[J]. Journal of Beijing University of Technology, 1999, 25(1): 1-9.
Citation: Tan Liyang. On Axiomatical Hypotheses of Classical and Quantum Statistical Mechanics[J]. Journal of Beijing University of Technology, 1999, 25(1): 1-9.
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On Axiomatical Hypotheses of Classical and Quantum Statistical Mechanics

  • Department of Chemistry and Environmental Engineering, Beijing Polytechnic University, Beijing, 100022

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  • Received Date: December 09, 1997
  • Available Online: August 08, 2022
  • Published Date: March 09, 1999
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    • Abstract
  • The classical and quantum statistical mechanics discussed in detail are those of hypotheses which possess axiomatic properties. Based on the hypotheses Maxwell-Boltzmann, Bose-einstein, and Fermi-Dirac statistical distributions are derived and proved concisely and rigorously. Also the principle of quantum grand canonical ensemable is analysed. And it is indicated that the non-identity and identity of bodies essentially result in the diversity between calssical and quanrum statistical mechanics: the forrner is related to the total body number and the latter is not.
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