• 文献标题:   Dirac electron in graphene with magnetic fields arising from first-order intertwining operators
  • 文献类型:   Article
  • 作  者:   CASTILLOCELEITA M, FERNANDEZ DJ
  • 作者关键词:   graphene, supersymmetry, dirac electron, harmonic oscillator
  • 出版物名称:   JOURNAL OF PHYSICS AMATHEMATICAL THEORETICAL
  • ISSN:   1751-8113 EI 1751-8121
  • 通讯作者地址:   CINVESTAV
  • 被引频次:   5
  • DOI:   10.1088/1751-8121/ab3f40
  • 出版年:   2020

▎ 摘  要

The behavior of a Dirac electron in graphene, under magnetic fields which are orthogonal to the layer, is studied. The initial problem is reduced to an equivalent one, wherein two one-dimensional Schrodinger Hamiltonians are intertwined by a first-order differential operator. Special magnetic fields are initially chosen, in order that will be shape-invariant, exactly solvable potentials. When looking for more general first-order operators intertwining H- with a not-necessarily shape-invariant Hamiltonian, new magnetic fields associated also with analytic solutions will be generated. The iteration of this procedure is also discussed.