Abstract
“The principle of equal a priori probability (PEPP)” is the postulate that all the realizable microstates appear in the same probability. In this chapter, I review that we can understand the PEPP from the viewpoint of “typicality,” which states that most of microstates in ensemble can represent the corresponding equilibrium state. In classical statistical mechanics, an observation of thermodynamic fluctuation leads to a notion of the typicality in a weak sense (weak typicality). Moreover, in quantum statistical mechanics, a superposition of many energy eigenstates makes the typicality hold in much stronger sense (strong typicality).
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Sugiura, S. (2017). Typicality and Ergodicity. In: Formulation of Statistical Mechanics Based on Thermal Pure Quantum States. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-1506-9_2
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DOI: https://doi.org/10.1007/978-981-10-1506-9_2
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