๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Application of many-body green's functions to the calculation of molecular ionization potentials

โœ Scribed by Per-olof Nerbrant


Publisher
John Wiley and Sons
Year
1975
Tongue
English
Weight
621 KB
Volume
9
Category
Article
ISSN
0020-7608

No coin nor oath required. For personal study only.

โœฆ Synopsis


Abstract

We present a method for calculating the oneโ€particle Green's function for molecules. The scheme is essentially that proposed by Schneider and Taylor [1]. The Green's function is obtained through the Dyson equation. Closed expressions result by using the functional derivation technique to truncate an infinite set of coupled equations. A physical interpretation of the approximation is given and a connection with the equationsโ€ofโ€motion method is pointed out. In a numerical application the ionization potentials are obtained for the molecules N~2~, H~2~O, NH~3~ and CH~4~.


๐Ÿ“œ SIMILAR VOLUMES


Application of many-body rayleigh-schrรถd
โœ I. Hubaฤ; V. Kvasniฤka; A. Holubec ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 326 KB

The ionization potentials and electron affinities are calculated by the use of the many-body Rayleigh-SchrBdinger perturbation theory. This approach is elaborated up to the third order, where each perturbation contribution can be interpreted by the diagrammatic method. Some simple illustrative calcu

Some applications of many-time Green's f
โœ A.J Kromminga ๐Ÿ“‚ Article ๐Ÿ“… 1964 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 639 KB

The spectral representation of many-time Green's functions is generalized to Green's functions in which several operators may appear in normal order. The Heisenberg picture matrix elements are given for the Green's function having one external interaction line and one external quasi-particle line an

Calculation of vertical ionization poten
โœ H. Yamakawa; T. Aoyama; H. Ichikawa ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 419 KB

The valence and core ionization potentials of Ne, Mg, and Hz0 have been calculated by using the one-body Green's function. The self-energy part WBS taken to include the second order and the w2dcpcndent terms, third order ita the perturbation.