How does the Hohenberg-Kohn Theorem relate to statistical mechanics?
The hohenberg Kohn theorem states that the ground state of the interacting particle system with a given fixed inter-particle interaction is a unique functional of the electron density.stastical mechanics deals with phenomenon involved in atomic particles.
For example let us consider thermal energy we deals with in atomic level for properties of thermal energy.here the atoms may move under electric potential.in case of current flow cases.the properties deals with density are good examples for this phenomenon.
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