Summary
We present here a simple algorithm for the construction of theN-electron Hamiltonian matrix using bi-electronic integrals. The procedure establishes a straightforward relation between reduced Hamiltonian matrices, quantum mechanical operators and the full configuration interaction (FCI) matrix. A way to obtain theN-electron Hamiltonian matrix in diagonal blocks according to their spin symmetry is pointed out.
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References
P. O. Löwdin:Phys. Rev.,97, 1474 (1955).
A. J. Coleman:Rev. Mod. Phys.,35, 668 (1963).
R. McWeeny:Rev. Mod. Phys.,32, 355 (1970).
E. R. Davidson:Reduced Density Matrices in Quantum Chemistry (Academic Press, New York, N.Y., 1976).
O. Goscinski:Int. J. Quantum Chem.,21, 269 (1982).
C. Valdemoro:Phys. Rev. A,31, 2114 (1985).
L. Laín, A. Torre andC. Valdemoro:Phys. Rev. A,37, 2868 (1988).
L. Laín, A. Torre, J. Karwowski andC. Valdemoro:Phys. Rev. A,38, 2721 (1988).
J. Paldus: inTheoretical Chemistry: Advances and Perspectives, edited byH. Eyring andD. J. Henderson (Academic Press, New York, N.Y., 1975).
M. A. Robb andU. Niazi:Compt. Phys. Rep.,1, 127 (1984).
M. Moshinsky:Group Theory and the Many-Body Problem (Gordon and Breach, New York, N.Y., 1968).
R. Paunz:Spin Eigenfunctions: Construction and Use (Plenum Press, New York, N.Y., 1979).
R. McWeeny andB. T. Sutcliffe:Compt. Phys. Rep.,2, 217 (1985).
W. Duch andJ. Karwowski:Compt. Phys. Rep.,2, 95 (1985).
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Torre, A., Laín, L. & Millan, J. A formal construction of theN-electron Hamiltonian matrix and its blocks factorization. Nuov Cim B 106, 1079–1084 (1991). https://doi.org/10.1007/BF02728353
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DOI: https://doi.org/10.1007/BF02728353