caa a22 4500 467911193 CHVBK 20180406152849.0 cr unu---uuuuu 170328e20061201xx s 000 0 eng 10.1007/s11232-006-0154-x doi (NATIONALLICENCE)springer-10.1007/s11232-006-0154-x Khalilov V. Moscow State University, Moscow, Russia aut Electron in the Aharonov-Bohm potential and in the Coulomb field in 2+1 dimensions [Elektronische Daten] [V. Khalilov] We obtain exact solutions of the Dirac equation in 2+1 dimensions and the electron energy spectrum in the superposition of the Aharonov-Bohm and Coulomb potentials, which are used to study the Aharonov-Bohm effect for states with continuous and discrete energy spectra. We represent the total scattering amplitude as the sum of amplitudes of scattering by the Aharonov-Bohm and Coulomb potentials. We show that the gauge-invariant phase of the wave function or the energy of the electron bound state can be observed. We obtain a formula for the scattering cross section of spin-polarized electrons scattered by the Aharonov-Bohm potential. We discuss the problem of the appearance of a bound state if the interaction between the electron spin and the magnetic field is taken into account in the form of the two-dimensional Dirac delta function. Springer Science+Business Media, Inc., 2006 Aharonov-Bohm effect nationallicence scattering amplitude nationallicence polarized electron nationallicence bound state nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 149/3(2006-12-01), 1726-1740 0040-5779 149:3<1726 2006 149 11232 https://doi.org/10.1007/s11232-006-0154-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0154-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Khalilov V. Moscow State University, Moscow, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 149/3(2006-12-01), 1726-1740 0040-5779 149:3<1726 2006 149 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 462680347 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer