• 文献标题:   New solutions for graphene with scalar potentials by means of generalized intertwining
  • 文献类型:   Article
  • 作  者:   IOFFE MV, NISHNIANIDZE DN, PROKHVATILOV EV
  • 作者关键词:  
  • 出版物名称:   EUROPEAN PHYSICAL JOURNAL PLUS
  • ISSN:   2190-5444
  • 通讯作者地址:   St Petersburg State Univ
  • 被引频次:   3
  • DOI:   10.1140/epjp/i2019-12798-3
  • 出版年:   2019

▎ 摘  要

The intertwining relations between superpartner Hamiltonians are the main ingredients of well-known Supersymmetrical Quantum Mechanics (SUSY QM). In the present paper, the generalized form of intertwining is used for the investigation of a massless (zero energy) two-dimensional Dirac equation with scalar external potential. This equation is related to the description of graphene and some other materials in the field of external electrostatic potential. The use of modified intertwining relations allows to find analytically solutions for the wave functions in the field of some external scalar potentials which depend on both space coordinates. A few examples of this construction are given explicitly.