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Twisted Localized Solutions of the Dirac Equation

Asteazkena, Otsailak 20, 2019 - 12:00
Place: 
Donostia International Physics Center
Who: 
Iwo Bialynicki-Birula, Center for Theoretical Physics, Warsaw, Poland
Source Name: 
DIPC

All known solutions of the Dirac equation describing states of electrons endowed with angular momentum are very far from our notion of the electron as a spinning charged bullet because they are not localized in the direction of propagation. I will present analytic exact solutions, eigenstates of the total angular momentum component Mz , that come very close to this notion. These new solutions of the Dirac equation have also intricate topological properties similar to the hopfion solutions of the Maxwell equations.

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