Abstract
In this chapter we wish to study those problems from Thomas-Fermi theory whose solutions depend almost exclusively on the methods of the calculus of variations. Questions of validity and physical interpretation are discussed by Thirring [10.1] and Lieb and Simon [10.2] and in references quoted therein. Justification for statements which we do not prove below can be found in [10.1, 3].
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References
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Further Reading
Thirring, W.: A lower bound with the best possible constant for Coulomb Hamiltonians. Commun. Math. Phys.79(1981) 1–7
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Blanchard, P., Brüning, E. (1992). Thomas-Fermi Theory. In: Variational Methods in Mathematical Physics. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82698-6_11
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