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- W2045628734 abstract "The quantum-mechanical treatment of a fermion motion in an infinitely thin magnetic flux is given physically rigorous for a Dirac Hamiltonian with an Aharonov–Bohm potential in (2+1) dimensions. The Dirac Hamiltonian contains a parameter s, which can be applied to characterize two states of the fermion spin. The Hamiltonian on this background requires additional specification of a one-parameter self-adjoint extension, which can be given in terms of physically acceptable boundary conditions. It is shown that for some values of the parameter that labels the extensions there exists a bound state. Expressions for the scattering amplitudes and cross-sections are obtained and discussed for different values of the extension parameter. The scattering of spin-polarized electrons off a thin solenoid are studied in the plane perpendicular to the solenoid axis for three spatial dimensions. The scattering amplitudes and cross-sections for quantum transitions of spin-polarized electrons are determined and discussed." @default.
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- W2045628734 date "2012-02-20" @default.
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- W2045628734 title "SPIN-POLARIZED FERMIONS IN AN AHARONOV–BOHM FIELD" @default.
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- W2045628734 doi "https://doi.org/10.1142/s0217732312500277" @default.
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