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- W3099842871 abstract "In this paper we will consider a charged quantum mechanical particle with a spin- 1/2 and a gyromagnetic ratio of g not=2 in the field of a magnetic string. The interaction of the charge with the string is the well known Aharonov-Bohm effect, and the contribution of the magnetic moment associated with the spin in the ease g=2 yields additional scattering and zero modes (one for each flux quantum). The anomaly of the magnetic moment (i.e. g>2) leads to bound states. We considered two methods for treating the case g>2. The first is the method of self-adjoint extension of the corresponding Hamilton operator. It yields one bound state as well as additional scattering. In the second we will consider three exactly solvable models for finite flux tubes and than consider the limit of zero radius. For a finite radius, there are N+1 bound states (N is the number of flux quanta in the tube). For R to 0 the bound state energies tend to be infinite so that this limit is not physical. A sensible limit can be obtained by tending g to 2 simultaneously with R to 0. Thereby only for fluxes less than unity, the results of the method of self-adjoint extension are reproduced whereas for larger fluxes N bound states will exist. We conclude therefore that this method is not applicable. We will discuss the physically interesting case of a small but finite radius whereby the natural scale is given by the anomaly of the magnetic moment of the electron ae= 1/2 (g-2) approximately=10-3." @default.
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- W3099842871 date "1993-12-21" @default.
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- W3099842871 title "Charged particle with magnetic moment in the Aharonov-Bohm potential" @default.
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- W3099842871 doi "https://doi.org/10.1088/0305-4470/26/24/032" @default.
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