Unrestricted treatment for the direct variational determination of the two-electron reduced density matrix for doubly occupied-configuration-interaction wave functions.

作者: Diego R. Alcoba , Alicia Torre , Luis Lain , Gustavo E. Massaccesi , Ofelia B. Oña

DOI: 10.1063/1.5092182

关键词: Configuration interactionSpin contaminationWork (thermodynamics)ElectronWave functionReduced density matrixPhysicsQuantum mechanicsDensity matrix

摘要: This work extends to the unrestricted orbital approach procedure described in our previous report [Alcoba et al., J. Chem. Phys. 148, 024105 (2018)] for determining variationally two-electron reduced density matrix arising from doubly occupied-configuration-interaction wave functions by imposing two- and three-index N-representability conditions. An analysis of numerical results obtained selected systems, both restricted treatments, allows one assess performance these methodologies as well show influence P, Q, G, T1, T2 positivity We highlight satisfactory within scheme.

参考文章(48)
Luis Lain, Alicia Torre, Diego R. Alcoba, Ofelia B. Oña, Gustavo E. Massaccesi, A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach Theoretical Chemistry Accounts. ,vol. 134, pp. 85- ,(2015) , 10.1007/S00214-015-1688-5
Mario Van Raemdonck, Diego R. Alcoba, Ward Poelmans, Stijn De Baerdemacker, Alicia Torre, Luis Lain, Gustavo E. Massaccesi, Dimitri Van Neck, Patrick Bultinck, Polynomial scaling approximations and dynamic correlation corrections to doubly occupied configuration interaction wave functions Journal of Chemical Physics. ,vol. 143, pp. 104106- 104106 ,(2015) , 10.1063/1.4930260
Frank Weinhold, E. Bright Wilson, Reduced Density Matrices of Atoms and Molecules. II. On the N‐Representability Problem The Journal of Chemical Physics. ,vol. 47, pp. 2298- 2311 ,(1967) , 10.1063/1.1703311
Maho Nakata, Bastiaan J. Braams, Katsuki Fujisawa, Mituhiro Fukuda, Jerome K. Percus, Makoto Yamashita, Zhengji Zhao, Variational calculation of second-order reduced density matrices by strong N-representability conditions and an accurate semidefinite programming solver. Journal of Chemical Physics. ,vol. 128, pp. 164113- 164113 ,(2008) , 10.1063/1.2911696
John F. Stanton, On the extent of spin contamination in open-shell coupled-cluster wave functions Journal of Chemical Physics. ,vol. 101, pp. 371- 374 ,(1994) , 10.1063/1.468144
R. McWeeny, Some Recent Advances in Density Matrix Theory Reviews of Modern Physics. ,vol. 32, pp. 335- 369 ,(1960) , 10.1103/REVMODPHYS.32.335
C. Valdemoro, L. M. Tel, D. R. Alcoba, E. Pérez-Romero, F. J. Casquero, Some basic properties of the correlation matrices International Journal of Quantum Chemistry. ,vol. 90, pp. 1555- 1561 ,(2002) , 10.1002/QUA.10338
T. Daniel Crawford, C. David Sherrill, Edward F. Valeev, Justin T. Fermann, Rollin A. King, Matthew L. Leininger, Shawn T. Brown, Curtis L. Janssen, Edward T. Seidl, Joseph P. Kenny, Wesley D. Allen, PSI3: An open‐source Ab Initio electronic structure package Journal of Computational Chemistry. ,vol. 28, pp. 1610- 1616 ,(2007) , 10.1002/JCC.20573
A. J. Coleman, The convex structure of electrons International Journal of Quantum Chemistry. ,vol. 11, pp. 907- 916 ,(1977) , 10.1002/QUA.560110604