Abstract
Classical statistical mechanics and quantum statistical mechanics are both based on the statistical probability description of Nature. Classical statistical mechanics applies to a statistically significant number of particles, the bridge between the properties of individual particles and the bulk properties of a system. Temperature and pressure have no meaning if there is only one gas particle in a balloon. Quantum statistical mechanics is the study of probability potentials of individual particles as well as bulk properties. In both areas of statistical mechanics the correct counting of the degeneracy of states cannot be understated. The states of a pair of electrons and a pair of dice are compared to illustrate problems associated with the degeneracy of states.
Published Version
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