Abstract
We study the ($2+1$)-dimensional Dirac equation in a homogeneous magnetic field (relativistic Landau problem) within a minimal length or generalized uncertainty principle scenario. We derive exact solutions for a given explicit representation of the generalized uncertainty principle and provide expressions of the wave functions in the momentum representation. We find that in the minimal length case, the degeneracy of the states is modified, and that there are states that do not exist in the ordinary quantum mechanics limit ($\ensuremath{\beta}\ensuremath{\rightarrow}0$). We also discuss the massless case, which may find application in describing the behavior of charged fermions in new materials like graphene.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
