Thomas-Fermi model/ Thomas-Fermi theoryFrechet functional derivativeHohenberg-Kohn universal functionalquantum theoryGateaux derivativesreformulationAn exact Thomas–Fermi theory requires the existence of a Fréchet functional derivative of the Hohenberg–Kohn universal functional. Although, as recently shown, ...
Brezis, H., Lieb, E.H.: Long range potentials in Thomas-Fermi theory. Commun. Math. Phys. 65 , 231–246 (1979)Brezis, H, Lieb, EH (1979) Long range potentials in Thomas-Fermi theory. Commun. Math. Phys 65: pp. 231-246H. Brezis and E.H. Lieb: Long range atomic potentials in...
https://aapt.scitation.org/doi/10.1119/1.1484144 [2] Landau L D, Lifshitz E M. Quantum mechanics: non-relativistic theory[M]. Elsevier, 2013. [3] Luther H A. An explicit sixth-order Runge-Kutta formula[J]. Mathematics of Computation, 1968, 22(102): 434-436. https://www.jstor.org/...
图书Temperature Dependent Thomas-Fermi Theory 介绍、书评、论坛及推荐
The classical Thomas--Fermi theory of the electrons in an atom is amended in a manner that produces continuity of the electron density ρ . This is done by imposing the constraint that ∫ e-2kr 2ρ dr should be finite, with k determined by the nuclear cusp condition, followed or preceded...
(3.3) Long Range Atomic Potentials in Thomas-Fermi Theory 235 is an increasing function of z [in the sense that h(z)^h(zf) if z^z'^ ΐ= l, ...,fc]. Thus, by Sect. II, h(z) has a well defined, finite limit as min {Z^-KXD. We call this limit Γ(R). Since h is ...
Within the TF theory, besides the successful investigations of the cold baryonic EOS for the neutron stars (NSs) structure [23], [24], a comprehensive study of thermal effects on thermodynamic properties of nuclear matter has been carried out [25], [26]. In the previous work [27], an ...
This chapter first describes Thomas-Fermi theory, and then its various generalizations which attempt to correct, with varying success, some of its deficiencies. It concludes with an overview of the Hohenberg-Kohn and Kohn-Sham density functional theories....
1) Thomas-Fermi theory Thomas-Fermi理论2) Thomas-Fermi model Thomas-Fermi模型 1. Based on Thomas-Fermi model,the change trend of free energy and Gibbs free energy of Al-Cu-Fe alloy and quasicrystal Al_(62. 基于Thomas-Fermi模型,计算研究了电场作用下Al-Cu-Fe系合金及其Al62。 2. Based ...
I. General theory and long range lattice models We systematize the study of reflection positivity in statistical mechanical models, and thereby two techniques in the theory of phase transitions: the method of infrared bounds and the chessboard method of estimating contour probabiliti... Jürg Frh...