𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A simple variational-perturbational approach to the correlation problem in atoms and molecules

✍ Scribed by L.S. Cederbaum; K. Scho¨nhammer; W. von Niessen


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
231 KB
Volume
34
Category
Article
ISSN
0009-2614

No coin nor oath required. For personal study only.

✦ Synopsis


A simp!e ansat;: for the gound state of atoms and molecules is proposed which is also suitable for large internuclear dis-tanc~ where pertrxbation theory breaks down. In its simplest form, where only doubly+xcited configurations are included, the ansatz leads to 97.3% of the exact correhtion energy of Hz0 calculated in the doubly-zxcited configurational space with the same basis set. The calculrltcd correlation energy for N2 shows the correct behaviour as a function of internuclear distance.

Much work has been invested in finding appropriate approaches to calculate ground state energies of atoms


📜 SIMILAR VOLUMES


Photoionization by a variational approac
✍ G.P. Arrighini; C. Guidotti; N. Durante 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 381 KB

A recently proposed approach to the photoionization of atoms according to a formalism based on the use of time-dependent correlation functions is investigated in terms of a possible implementation of the procedure via a time-dependent variational principle. A simple application to the hydrogen atom

Spectral variational approach to the non
✍ Ondřej Čadek; Zdeněk Martinec; Ctirad Matyska 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 849 KB

A hybrid-variational formulation of the Stokes equation for incompressible non-Newtonian flow is suggested. A spherical harmonic technique is adopted to discretize the problem. In the case of non-Newtonian rheology, the energy functional becomes non-quadratic. To minimize it on the set of admissible

Correlation potentials for the He atom a
✍ Federico Moscardó; Angel J. Pérez-Jiménez 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 251 KB 👁 2 views

Two points about correlation potentials have been dealt with in this article. The first one is related to the shape of some of the most representative correlation potentials applied to the ground state of the He atom. It is shown here that both LDA and two-body density correlation potentials compare

The systematic cancellation of errors in
✍ G.A. Gallup; J. Gerratt 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 203 KB

We give B description or a variauon-perturbalion approach IO calculaling intermolecular pok.nlrals that possess a syslematic cancellation ol errors. An important consequence is the posabihty or uslog integrals over AOs that arc quile approximate.