FINITENESS OF THE NUMBER OF CRITICAL VALUES OF THE HARTREE-FOCK ENERGY FUNCTIONAL LESS THAN A CONSTANT SMALLER THAN THE FIRST ENERGY THRESHOLD
Author:
Affiliation:
1. Department of Mathematics Gakushuin University
Publisher
Faculty of Mathematics, Kyushu University
Subject
General Mathematics
Link
https://www.jstage.jst.go.jp/article/kyushujm/75/2/75_277/_pdf
Reference15 articles.
1. [1] S. Agmon. Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrödinger Operations. Princeton University Press, Princeton, NJ, 1982.
2. [2] E. Cancès and C. L. Bris. On the convergence of SCF algorithms for the Hartree-Fock equations. ESAIM: Math. Model. Numer. Anal. (M2AN) 34 (2000), 749-774.
3. [3] V. Fock. Näherungsmethode zur Lösing des quantenmechanischen Mehrkörperproblems. Z. Phys. 61 (1930), 126-148.
4. [4] S. Fučik, J. Nečas, J. Souček and V. Souček. Upper bound for the number of critical levels for nonlinear operators in Banach spaces of the type of second order nonlinear partial differential operators. J. Funct. Anal. 11 (1972), 314-333.
5. [5] D. Hartree. The wave mechanics of an atom with a non-Coulomb central field. Part I. Theory and methods. Proc. Camb. Phil. Soc. 24 (1928), 89-132.
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