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A formal construction of theN-electron Hamiltonian matrix and its blocks factorization

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Il Nuovo Cimento B (1971-1996)

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

  1. P. O. Löwdin:Phys. Rev.,97, 1474 (1955).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. A. J. Coleman:Rev. Mod. Phys.,35, 668 (1963).

    Article  ADS  Google Scholar 

  3. R. McWeeny:Rev. Mod. Phys.,32, 355 (1970).

    MathSciNet  Google Scholar 

  4. E. R. Davidson:Reduced Density Matrices in Quantum Chemistry (Academic Press, New York, N.Y., 1976).

    Google Scholar 

  5. O. Goscinski:Int. J. Quantum Chem.,21, 269 (1982).

    Article  Google Scholar 

  6. C. Valdemoro:Phys. Rev. A,31, 2114 (1985).

    Article  ADS  Google Scholar 

  7. L. Laín, A. Torre andC. Valdemoro:Phys. Rev. A,37, 2868 (1988).

    Article  ADS  Google Scholar 

  8. L. Laín, A. Torre, J. Karwowski andC. Valdemoro:Phys. Rev. A,38, 2721 (1988).

    Article  ADS  Google Scholar 

  9. J. Paldus: inTheoretical Chemistry: Advances and Perspectives, edited byH. Eyring andD. J. Henderson (Academic Press, New York, N.Y., 1975).

    Google Scholar 

  10. M. A. Robb andU. Niazi:Compt. Phys. Rep.,1, 127 (1984).

    Article  ADS  Google Scholar 

  11. M. Moshinsky:Group Theory and the Many-Body Problem (Gordon and Breach, New York, N.Y., 1968).

    Google Scholar 

  12. R. Paunz:Spin Eigenfunctions: Construction and Use (Plenum Press, New York, N.Y., 1979).

    Book  Google Scholar 

  13. R. McWeeny andB. T. Sutcliffe:Compt. Phys. Rep.,2, 217 (1985).

    ADS  MATH  Google Scholar 

  14. W. Duch andJ. Karwowski:Compt. Phys. Rep.,2, 95 (1985).

    ADS  Google Scholar 

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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

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