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The Thomas-Fermi-von Weizsäcker theory of atoms and molecules. (English) Zbl 0478.49035


MSC:

49S05 Variational principles of physics
81V35 Nuclear physics
81V55 Molecular physics
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References:

[1] Lieb, E. H., Simon, B.: Adv. Math.23, 22–116 (1977) · Zbl 0938.81568
[2] von Weizsäcker, C. F.: Z. Phys.96, 431–458 (1935)
[3] Kompaneets, A. S., Pavloskii, E. S.: Sov. Phys. JETP4, 328–336 (1957)
[4] Benguria, R.: The von Weizsäcker and exchange corrections in the Thomas-Fermi theory. Princeton University Thesis: June 1979 (unpublished)
[5] Balàzs, N. L.: Phys. Rev.156, 42–47 (1967)
[6] Gombás, P.: Acta Phys. Hung.9, 461–469 (1959)
[7] Stampacchia, G.: Equations elliptiques du second ordre à coefficients discontinus. Montreal: Presses de l’Univ. 1965 · Zbl 0151.15401
[8] Bers, L., Schechter, M.: Elliptic equations in Partial Differential Equations. New York: Interscience pp. 131–299. 1964 · Zbl 0128.09404
[9] Trudinger, N.: Ann. Scuola Norm. Sup. Pisa27, 265–308 (1973)
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