https://doi.org/10.1051/epjconf/201817303022
A Variational Solution of the Schrödinger Equation in an Inhomogeneous Central Field
1 Keldysh Institute of Applied Mathematics Miusskaya sq., 4 Moscow, 125047, Russia
* e-mail: tolstov_ilya@inbox.ru
** e-mail: bgfreink@gmail.com
*** e-mail: polyakov@imamod.ru
Published online: 14 February 2018
The present work is devoted to the computer modeling of emission processes from the graphene surface which is a promising material for modern applications. We examine the effect of the ion field inhomogeneity on the variational solution of the Schrödinger equation for the ground state of a loosely bound electron of a hydrogen-like carbon atom, which simulates the graphene model. This shows a significant impact of the allowance for the field inhomogeneity to the ground state of the electron.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
