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
Application of many-body green's functions to the calculation of molecular ionization potentials
โ 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.
โฆ Synopsis
Abstract
We present a method for calculating the oneโparticle 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 equationsโofโmotion 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~.
๐ SIMILAR VOLUMES
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
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.