Quantum mechanics informs statistical mechanics from "summary" of Thermodynamics and an Introduction to Thermostatistics by Herbert B. Callen
The connection between quantum mechanics and statistical mechanics lies in the fact that the behavior of individual particles, governed by quantum mechanics, can be used to derive the statistical behavior of a large collection of particles. In quantum mechanics, the state of a system is described by a wave function, which contains all the information about the system. However, in statistical mechanics, we are more interested in the average behavior of a large number of particles rather than the specific behavior of individual particles. By taking the statistical average over all possible states of the system, we can obtain the macroscopic properties of the system. This statistical approach allows us to make predictions about the behavior of a system without needin...
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