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Abstract:

We have recently (Valdemoro et al., Sixth International Congress of the International Society for Theoretical Chemical Physics, 2008; Alcoba et al., Int J Quantum Chem, in press) reported the form of the G-particle-hole hypervirial equation, which can be identified with the anti-Hermitian part of the correlation contracted Schrödinger equation (Alcoba, Phys Rev A, 2002, 65, 032519), as a tool to obtain the second-order reduced density matrix of an N-electron system without previous knowledge of the wave-function. The results which have been obtained when solving the G-particle-hole hypervirial equation with an iterative method also described in (Valdemoro et al., Sixth International Congress of the International Society for Theoretical Chemical Physics, 2008; Alcoba et al., Int J Quantum Chem, in press) have been highly accurate. The convergence of these test calculations has been very smooth, though rather slow. One of the factors which determines the performance of the method is the accuracy with which the 3-order correlation matrices (3-CM) involved in the calculations are approximated. It is, therefore, necessary to optimize to the utmost the construction algorithms of these 3-order matrices in terms of the 2-CM. In this article, the main theoretical features of the p-CM are described. Also, some aspects of the correlation contracted Schrödinger equation and of the G-particle-hole hypervirial equation are revisited. A new theorem, concerning the sufficiency of the hypervirial of the 3-order correlation operator to guarantee a correspondence between its solution and that of the Schrödinger equation, and some preliminary results concerning the constructing algorithms of the 3-CM in terms of the 2-CM, are reported in the second part of this article. © 2009 Wiley Periodicals, Inc.

Registro:

Documento: Artículo
Título:Theoretical and applicative properties of the correlation and G-particle-hole matrices
Autor:Valdemoro, C.; Alcoba, D.R.; Tel, L.M.; Pérez-Romero, E.
Filiación:Instituto de Matemáticas y Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain
Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Departamento de Química Física, Facultad de Ciencias Químicas, Universidad de Salamanca, 37008 Salamanca, Spain
Palabras clave:Chemical physics; Constructing algorithms; Construction algorithms; Correlation matrix; Dinger equation; Electron systems; Hermitian; International society; Second-order reduced density; Color; Correlation methods; Presses (machine tools); Mathematical operators
Año:2009
Volumen:109
Número:11
Página de inicio:2622
Página de fin:2638
DOI: http://dx.doi.org/10.1002/qua.22042
Título revista:International Journal of Quantum Chemistry
Título revista abreviado:Int J Quantum Chem
ISSN:00207608
CODEN:IJQCB
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207608_v109_n11_p2622_Valdemoro

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Citas:

---------- APA ----------
Valdemoro, C., Alcoba, D.R., Tel, L.M. & Pérez-Romero, E. (2009) . Theoretical and applicative properties of the correlation and G-particle-hole matrices. International Journal of Quantum Chemistry, 109(11), 2622-2638.
http://dx.doi.org/10.1002/qua.22042
---------- CHICAGO ----------
Valdemoro, C., Alcoba, D.R., Tel, L.M., Pérez-Romero, E. "Theoretical and applicative properties of the correlation and G-particle-hole matrices" . International Journal of Quantum Chemistry 109, no. 11 (2009) : 2622-2638.
http://dx.doi.org/10.1002/qua.22042
---------- MLA ----------
Valdemoro, C., Alcoba, D.R., Tel, L.M., Pérez-Romero, E. "Theoretical and applicative properties of the correlation and G-particle-hole matrices" . International Journal of Quantum Chemistry, vol. 109, no. 11, 2009, pp. 2622-2638.
http://dx.doi.org/10.1002/qua.22042
---------- VANCOUVER ----------
Valdemoro, C., Alcoba, D.R., Tel, L.M., Pérez-Romero, E. Theoretical and applicative properties of the correlation and G-particle-hole matrices. Int J Quantum Chem. 2009;109(11):2622-2638.
http://dx.doi.org/10.1002/qua.22042