Abstract
We solve the one‐dimensional Dirac equation for a square well potential of depth larger than twice the particle’s rest mass energy. The energy spectrum formula for vector coupling in the Klein energy zone is obtained. It matches precisely the transmission resonance spectrum of the relativistic square potential barrier problem. In the nonrelativistic limit, it reduces to the well‐known energy spectrum of a particle in a box. We point out the relevance of these results to 1D graphene systems such as graphene nano‐tubes and nano‐ribbons.
Sign-in/Register to access full text options 
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.
