New solutions for graphene with scalar potentials by means of generalized intertwining

M.V. Ioffe, David N. Nishnianidze, E.V. Prokhvatilov

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

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.

Original languageEnglish
Article number450
Number of pages9
JournalEuropean Physical Journal Plus
Volume134
Issue number9
DOIs
StatePublished - Sep 2019

Scopus subject areas

  • Physics and Astronomy(all)

Keywords

  • HAMILTONIANS
  • QUANTUM-MECHANICS
  • SUPERSYMMETRY
  • SUSY APPROACH

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