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Classical Representation of a Quantum System at Equilibrium

✍ Scribed by J. W. Dufty; S. Dutta

Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
117 KB
Volume
52
Category
Article
ISSN
0005-8025

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✦ Synopsis

A quantum system at equilibrium is represented by a corresponding classical system, chosen to reproduce the thermodynamic and structural properties. The objective is to develop a means for exploiting strong coupling classical methods (e.g., MD, integral equations, DFT) to describe quantum systems. The classical system has an effective temperature, local chemical potential, and pair interaction that are defined by requiring equivalence of the grand potential and its functional derivatives with respect to the external and pair potentials for the classical and quantum systems. Practical inversion of this mapping for the classical properties is effected via the hypernetted chain approximation, leading to representations as functionals of the quantum pair correlation function. As an illustration, the parameters of the classical system are determined approximately such that ideal gas and weak coupling RPA limits are preserved.

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