Summary
This paper describes the behaviour of some procedures for the direct approximation of Reduced Density Matrices. These methods have been applied to the determination of the energies of the ground and two lower excited states of the first-row atoms. Some criteria to establish the quality of the results are pointed out. The results have been compared in all cases with the experimental data and, for beryllium, with the energy obtained using the Full Configuration Interaction method.
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References
R. McWeeny:Rev. Mod. Phys.,32, 335 (1960).
A. J. Coleman:Rev. Mod. Phys.,35, 668 (1963).
E. R. Davidson:Reduced Density Matrices in Quantum Chemistry (Academic, New York, N.Y., 1976).
H. Nakatsuji:Phys. Rev. A,14, 41 (1976).
A. J. Coleman andI. Absar:Int. J. Quantum Chem.,28, 1279 (1980).
O. Goscinski:Int. J. Quantum Chem.,21, 269 (1982).
R. O. Jones andO. Gunnarson:Rev. Mod. Phys.,61, 689 (1989).
R. G. Parr andW. Yang:Density-Functional Theory of Atoms and Molecules (Oxford University Press, New York, N.Y., 1989).
W. Karwowski, W. Duch andC. Valdemoro:Phys. Rev. A,33, 2254 (1986).
L. Lain, A. Torre andC. Valdemoro:Phys. Rev. A,37, 2868 (1988).
L. Lain, A. Torre, C. Karwowski andC. Valdemoro:Phys. Rev. A,38, 2721 (1988).
J. Planelles, C. Valdemoro andJ. Karwowski:Phys. Rev. A,43, 3392 (1991).
R. McWeeny andB. T. Sutcliffe:Compt. Phys. Rep.,2, 217 (1985).
W. Duch andJ. Karwowski:Compt. Phys. Rep.,2, 95 (1985).
W. Kutzelnigg:J. Chem. Phys.,82, 4166 (1985).
E. Clementi andC. Roetti:At. Data Nucl. Data Tables,14, 428 (1974).
A. Szabo andN. S. Ostlund:Modern Quantum Chemistry (McGraw-Hill, New York, N.Y., 1989).
C. E. Moore:Ionization Potentials and Ionization Limits Derived from the Analysis of Optical Spectra, National Bureau of Standards (US) No. 34 (USGPO, Washington, D.C., 1970).
S. Fraga, J. Karwowski andK. M. S. Saxena:Handbook of Atomic Data (Elsevier, Amsterdam, 1976).
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Torre, A., Lain, L. & Millan, J. Analysis of several methods in the direct approximation of reduced density matrices. Nuov Cim B 108, 491–498 (1993). https://doi.org/10.1007/BF02742807
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DOI: https://doi.org/10.1007/BF02742807