This paper describes two recent innovations related to the restarted Lanczos method for eigenvalue problems, namely the thick-restart technique and dynamic restarting schemes. Previous restarted versions of the Lanczos method use considerably more iterations than the non-restarted versions, largely
The distinguishable electron method for electronic structure calculations
โ Scribed by Bernard Kirtman
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 380 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0009-2614
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โฆ Synopsis
We present a new perturbation method for calculating electronic structure based on 1) intuitive choice of a non-symmetric Ho and 2) application of a Van Vleck type of degenerate perturbation theory. The connection with Sinanoglu's pair formalism is developed.
1. Introd~cction
Recently, there has been a flurry of activity on the problem of developing a suitable perturbation theory [l] for intermolecular and interatomic exchange forces particularly in the region of small overlap. We present here the outlines of a new approach to this problem called the "Distinguishable Electron Method" (DEM). This method can be applied not only at distances where the overlap is small but in the bonding and repulsive regions as well. Its novel features are: 1) intuitive choice of a non-symmetric zeroth-order Hamiltonian where each electron moves in a different potential field * and 2) application of a Van Vleck type of degenerate perturbation theory [2] in variational form [3] to the block of symmetrically equivalent states.
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