Abstract
The energy as function of entropy and the free energy as function of temperature is calculated rigorously for nonrelativistic fermions with
interactions. It is shown that in the appropriate thermodynamic limit the corresponding Thomas-Fermi equation becomes exact.
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Work supported by „Fonds zur Förderung der wissenschaftlichen Forschung“, Projekt Nr. 1391.
On leave of absence from the University of Heidelberg, Germany.
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Hertel, P., Narnhofer, H. & Thirring, W. Thermodynamic functions for fermions with gravostatic and electrostatic interactions. Commun.Math. Phys. 28, 159–176 (1972). https://doi.org/10.1007/BF01645513
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DOI: https://doi.org/10.1007/BF01645513