Abstract:
A study is made of Fermi systems with many particles N for binary
particle-particle potentials that lead to contracted systems. A detailed proof is given of the fact [1] that in such systems the Hartree and Thomas–Fermi approximation is asymptotically exactly realized.
This publication is cited in the following 4 articles:
Eugene S. Kryachko, “Stability and protonation of multielectron systems: The concept of proton affinity. I. Vague limits”, Int J of Quantum Chemistry, 111:7-8 (2011), 1792
O. Ya. Savchenko, “Estimates of the eigenvalues of the Schrödinger equation for a system of interacting particles. I”, Theoret. and Math. Phys., 35:3 (1978), 530–534
I. V. Simenog, “Asymptotic solution of stationary nonlinear Hartree equation”, Theoret. and Math. Phys., 30:3 (1977), 263–268
V. I. Yukalov, “Remarks on quasiaverages”, Theoret. and Math. Phys., 26:3 (1976), 274–281