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- W2046240983 abstract "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." @default.
- W2046240983 created "2016-06-24" @default.
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- W2046240983 date "2007-04-01" @default.
- W2046240983 modified "2023-09-23" @default.
- W2046240983 title "Electron in the Aharonov-Bohm potential and in the Coulomb field in 2+1 dimensions" @default.
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- W2046240983 doi "https://doi.org/10.1007/s11232-007-0045-9" @default.
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