Dynamics of electrons and explicit solutions of Dirac-Weyl systems

被引：5

作者：

Sakhnovich, Alexander ^{[1
]}

机构：

[1] Univ Vienna, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2017年 / 50卷 / 11期

基金：

奥地利科学基金会;

关键词：

electrons; graphene; dynamical system; explicit solution; parameter matrices; Dirac-Weyl system; Backlund-Darboux transformation; COMMUTATION; SCHRODINGER; EQUATIONS; FORMULAS;

D O I：

10.1088/1751-8121/aa5bc3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Explicit solutions of the Dirac-Weyl system, which are essential in graphene studies, are constructed using our recent approach to the construction of solutions of dynamical systems. The obtained classes of solutions are much wider than the ones which have been considered before. It is proved that neither the constructed potentials nor the corresponding solutions have singularities. Various examples are provided.

引用

页数：9

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