Abstract
The spectrum of a relativistic electron in a uniform magnetic field is completely analyzed using supersymmetry quantum mechanics. The Dirac Hamiltonian less the rest energy is the supersymmetric Hamiltonian. Not only the electron (or positron) states with opposite helicities, but also the electron and positron states with opposite helicities, are shown to be superpartners. The degeneracy between the electron and positron ground states, as well as excited states with the same helicities, is shown to be due to the spontaneous breaking of symmetry under the combined operation of charge conjugation and time reversal.
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 callMore From: Physical review. A, Atomic, molecular, and optical physics
Disclaimer: 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.
