Direct algorithm for the random-phase approximation
โ Scribed by V. G. Zakrzewski; O. Dolgounitcheva; J. V. Ortiz
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 525 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
โฆ Synopsis
An algorithm for calculating excitation energies and transition moments in the randomphase approximation (RPA) of the polarization propagator is presented. The algorithm includes direct solution of the RPA eigenvalue problem and direct evaluation of products of superoperator Hamiltonian matrices with excitation vectors. Given sufficient memory, only one integral evaluation step per iteration is needed. Illustrative calculations on the excitation energies and oscillator strengths of ethylene are presented.
๐ SIMILAR VOLUMES
We give the first non-trivial approximation algorithms for the Steiner tree problem and the generalized Steiner network problem on general directed graphs. These problems have several applications in network design and multicast routing.
In this paper we consider the Steiner multicut problem. This is a generalization of the minimum multicut problem where instead of separating node pairs, the goal is to find a minimum weight set of edges that separates all given sets of nodes. A set is considered separated if it is not contained in a
The achromatic number for a graph G = V E is the largest integer m such that there is a partition of V into disjoint independent sets V 1 V m such that for each pair of distinct sets V i , V j , V i โช V j is not an independent set in G. Yannakakis and Gavril (1980, SIAM J. Appl. Math. 38, 364-372) p
## Abstract In this article we study the __group Steiner network__ problem, which is defined in the following way. Given a graph __G__ = (__V,E__), a partition of its vertices into K groups and connectivity requirements between the different groups, the aim is to find simultaneously a set of repres