Abstract
The conjecture according to which the mean energy of an equilibrium system in quantum theory exceeds the mean energy of the corresponding classical system is considered. It is rigorously proved that the conjecture holds for the potential well. The estimates for the mean energy of the potential well at high and low temperatures are of special interest.
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Sakhnovich, L.A. Comparison of Thermodynamic Characteristics of a Potential Well under Quantum and Classical Approaches. Functional Analysis and Its Applications 36, 205–211 (2002). https://doi.org/10.1023/A:1020197905017
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DOI: https://doi.org/10.1023/A:1020197905017