The problem of pure-state N-representability of the two-particle spin- ## Ž . dependent density function x , x is considered for an N-electron system, and a 1 2 Ž . procedure for finding an N-representable x , x is advanced. The problem is 1 2 formulated in the framework of a family of N = N matr
Traces of spin-adapted reduced density matrices
✍ Scribed by E. Pérez-Romero; L. M. Tel; C. Valdemoro
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 142 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
Ž
. The traces of the p-order reduced density matrices p-RDM split into independent ˆ2 ĉontributions associated to the subsets of p-electron eigenstates of the S and S z operators. Here, we report the partial traces for the blocks of the low-order RDMs corresponding to pure spin states of an N-electron system. A systematic method for calculating those of higher order RDMs is described and some useful relations are also given. All these relations which must be fulfilled independently by a RDM can be considered as N-and S-representability conditions ᮊ 1997 John Wiley & Sons, Inc.
📜 SIMILAR VOLUMES
The algorithm for evaluating the elements of the spin-adapted reduced ## Ž . Hamiltonian 2-SRH involves the whole basis set of molecular orbitals. However, under a specific condition, its eigenvectors are very sparse. These two properties lead us here to propose a projection of the 2-SRH matrix,
The properties of the spin-adapted reduced Hamiltonian SRH matrices and of their eigenvectors permit in many cases a projection of the two-electron matrices, which amounts to an effective truncation of the basis at the stage of the calculations which are time and as memory consuming. Besides this ef