Abstract
The (2+1)-dimensional Dirac equation for an electron in a constant magnetic field is considered. Exact solutions of this equation along with the corresponding energy spectrum are derived in a concise form. Among these solutions, we noticed that the lowest Landau level wavefunction corresponds to an anti-electron (an electron with a negative energy). The latter appears because special relativity allows solutions with negative energies. This means that a relativistic electron (matter) in a uniform magnetic field, at the lowest Landau level, is mutated to an anti-electron (anti-matter). This is a good finding for those that are interested in anti-matter applications.
Sign-in/Register to access full text options 
Free) 
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 call
