Analytical solution of the Schr\"odinger equation for the hydrogen molecular ion $H_2^+$
Quantum Physics
2015-08-18 v2 Atomic Physics
Chemical Physics
Abstract
The full analytical solution of the Schr\"{o}dinger equation for the hydrogen molecular ion (special case of the quantum tree-body problem with the Coulomb interaction) is obtained first. The solution shows that the total wave function is a two-term function in the sense that it is a linear combination of the two linear independent wave functions. The two-term character of the total wave function was visualized in calculations of the total electron density of at different internuclear separations.
Keywords
Cite
@article{arxiv.1508.01359,
title = {Analytical solution of the Schr\"odinger equation for the hydrogen molecular ion $H_2^+$},
author = {A. V. Mitin},
journal= {arXiv preprint arXiv:1508.01359},
year = {2015}
}
Comments
4 pages, 1 figure. Corrected typos, changed a term, edited affiliation