Abstract
A connection between relativistic quantum mechanics in the Foldy–Wouthuysen representation and the paraxial equations is established for a Dirac particle in external fields. The paraxial form of the Landau eigenfunction for a relativistic electron in a uniform magnetic field is determined. The obtained wave function contains the Gouy phase and significantly approaches the paraxial wave function for a free electron.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have