najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2019-10-2-124-130najo-626Research ArticleMATHEMATICSМАТЕМАТИКАNumerical solution for the Schrodinger equation with potential in graphene structuresNhatL. A.

6 Miklukho-Maklaya str., 117198, Moscow 

22227, Tuyen Quang, Vietnam 

leanhnhat@mail.ruPeoples’ Friendship University of Russia (RUDN University) ; Tan Trao UniversityRussian Federation201912082025102124130Copyright © Nhat L.A., 20252025Nhat L.A.Nhat L.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/626

This paper presents a different numerical solution to compute eigenvalues of the Schrodinger equation with the potentials in graphene struc- ¨ tures [1]. The research subjects include the Schrodinger equation and the exchange-correlation energy of the graphene structures in Grachev’s ¨ article. Specifically, we used the pseudospectral method basing on the Chebyshev-Gauss-Lobatto grid to determine the approximate numerical results of the problem. The results are the discrete energy spectra and the corresponding eigenfunctions of the nonlinear spin waves in the graphene structure. Additionally, these results can be applied to create the nonlinear spin waves in the graphene structures.

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The authors declare that there are no conflicts of interest present.