A two-dimensional, fully numerical approach to the four-component first-order Dirac equation using the finite element method is employed for diatomic systems. Using the Dirac-Fock approximation with only 2601 grid points we achieve for the heavy quasi-molecule NiPb"'+ at R= 0.002 au a relative accur
An accurate solution of the two-centre Dirac equation for H+2 by the finite-element method
โ Scribed by L. Yang; D. Heinemann; D. Kolb
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 220 KB
- Volume
- 178
- Category
- Article
- ISSN
- 0009-2614
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โฆ Synopsis
A two-dimensional, fully numerical approach to the four-component Dirac equation using the finite-element-method (FEM) is employed for a diatomic system. For H: , an absolute accuracy of about 1 O-lo au for the la, orbital energy is obtained by using only 2601 grid points. Using a difference method, the relativistic energy correction can be calculated with an accuracy of about lo-" au.
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## Abstract The PontriaginโVitt equation governing the mean of the time of first passage of a randomly accelerated particles has been studied extensively by Franklin and Rodemich.^1^ In their paper is presented the analytic solution for the twoโsided barrier problem and solutions by several finite