论文标题
石墨烯的一类新的可解决的二维标量电势
A New Class of Solvable Two-dimensional Scalar Potentials for Graphene
论文作者
论文摘要
在本文中，提出了一种系统的方法，用于解决具有外部静电电势的二维无质量dirac方程。这种方法基于新的 - 不对称形式的Susy样相互交织关系。它允许建立各种各样的SUSY-PARTNER外部标量电势。如果其中一个足够简单以至于无法解决，那么它的合作伙伴也可以解决，尽管它可能对两个坐标具有非平凡的依赖性。从物理上讲，这种问题与石墨烯和其他具有外部潜力的材料的描述有关。通过不对称形式的SUSY相互交织关系获得的解决性可以扩展可解决的二维模型的类别。
In the present paper, a systematic approach is presented for solution of two-dimensional massless Dirac equation with external electrostatic potential applied. This approach is based on the new - asymmetric - form of SUSY-like intertwining relations. It allows to build a wide variety of pairs of SUSY-partner external scalar potentials. If one of them is simple enough to be solvable, its partner is also solvable although it may have a non-trivial dependency on both coordinates. Physically, this kind of problems is related to the description of graphene and some other materials with external potential. Solvability obtained by means of asymmetric form of SUSY intertwining relations allows to extend the class of analytically solvable two-dimensional models.
