Complete error potential

作者: A. Laforgue , P. Gu�rin

DOI: 10.1007/BF00530224

关键词: Approximation errorMolecular HamiltonianBorn–Oppenheimer approximationApplied mathematicsA priori and a posterioriMuffin-tin approximationClassical mechanicsMathematicsHamiltonian (quantum mechanics)Round-off errorEigenfunction

摘要: The complete error potential is a function of electronic and nuclear coordinates which has to be added the physical in order obtain eigenfunctions molecular Hamiltonian an priori specified approximation. This essential for theory, particular it furnishes simple justification Born-Oppenheimer It given as sum that intramolecular forces, whose importance discussed.

参考文章(14)
Mark Casida, What do local energy maps tell about local error International Journal of Quantum Chemistry. ,vol. 27, pp. 451- 460 ,(1985) , 10.1002/QUA.560270409
A. Laforgue, Correlation potential and correlation forces in coupled cluster expansion Journal of Molecular Structure-theochem. ,vol. 120, pp. 241- 246 ,(1985) , 10.1016/0166-1280(85)85113-7
Millard H. Alexander, Error Bounds to Expectation Values of One‐Electron Operators Using Hartree–Fock Wavefunctions The Journal of Chemical Physics. ,vol. 51, pp. 5650- 5658 ,(1969) , 10.1063/1.1671994
D. H. Weinstein, Modified Ritz Method. Proceedings of the National Academy of Sciences of the United States of America. ,vol. 20, pp. 529- 532 ,(1934) , 10.1073/PNAS.20.9.529
A. Laforgue, T. Theophanides, Modèle électrostatique de la conformation des molécules CH2X-CH2Y Journal of Molecular Structure. ,vol. 22, pp. 125- 132 ,(1974) , 10.1016/0022-2860(74)80073-6
Frederick W. King, Mary A. LeGore, Michael K. Kelly, Reduced local energy as a criterion for the accuracy of Hartree–Fock wave functions Journal of Chemical Physics. ,vol. 75, pp. 809- 814 ,(1981) , 10.1063/1.442124
Alexandre Laforgue, Potentiel d'erreur et seconde quantification: application à la corrélation Canadian Journal of Chemistry. ,vol. 63, pp. 1788- 1796 ,(1985) , 10.1139/V85-299
Alexandre Laforgue, Christine Brucena-Grimbert, Denise Laforgue-Kantzer, Giuseppe Del Re, Vincenzo Barone, Theoretical analysis of conduction in acid and base solutions The Journal of Physical Chemistry. ,vol. 86, pp. 4436- 4446 ,(1982) , 10.1021/J100219A034