Document Type
Report
Source Publication Title
Technical Report 311
Abstract
Using the recent formulation of Gell-Mann and Hartle for approximating quantum dynamical phenomena by means of classical equations, we simulate electron motions in ground state H2+, in ground state H2, and in the first excited state of H2. The approach develops approximate initial data first by mathematical bisection. The dynamical calculations are then carried out over short time intervals only, which is consistent with the Gell-Mann and Hartle theory and which is applicable because the phenomena to be studied are periodic. An energy conserving numerical scheme is used so that the energy of a given system will be a numerical invariant. Graphical representations of the electron motions indicate readily electron distributions, or clouds, over various time intervals.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
1-1-1996
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Greenspan, Donald, "Dynamical Generation of Electron Motions in Ground State H2+, in Ground State H2, and in the First Excited State of H2" (1996). Mathematics Technical Papers. 70.
https://mavmatrix.uta.edu/math_technicalpapers/70