Open AccessCalculation of the ground state of an electron in an inhomogeneous field of a screened carbon ion
Author(s) -
B. G. Freinkman,
S. V. Polyakov,
Ilya Olegovich Tolstov
Publication year - 2021
Publication title -
preprint/preprinty ipm im. m.v. keldyša
Language(s) - English
Resource type - Journals
eISSN - 2071-2901
pISSN - 2071-2898
DOI - 10.20948/prepr-2021-21
Subject(s) - ground state , ion , electron , graphene , lattice (music) , physics , radius , atomic physics , condensed matter physics , quantum mechanics , computer science , computer security , acoustics
This study is related to the development of mathematical methods and numerical algorithms for modeling the local quantum state of the graphene surface on the scale of the lattice spacing. Earlier, to solve this problem, a model of the graphene structure in the form of a lattice of hydrogen-like atoms with screened ions was proposed. However, the screening field was uniform. In this work, it is assumed that the screening field of the ion is inhomogeneous along the radius. The main direction of research was the calculation of the energy of the ground state of an electron in an inhomogeneous field.