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,
Solution of the one-electron Dirac equation for the heavy diatomic quasi-molecule NiPb109+ by the finite element method
✍ Scribed by C. Düsterhöft; L. Yang; D. Heinemann; D. Kolb
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 269 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
✦ Synopsis
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 accuracy better than 10-s for orbital energies (nuclear repulsion energies ignored).
📜 SIMILAR VOLUMES
## Abstract The Pontriagin–Vitt 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 two‐sided barrier problem and solutions by several finite