Affiliation:
1. Budker Institute of Nuclear Physics
Abstract
We investigate the asymptotic behavior of the charge density ρind(r) induced by an azimuthally symmetric potential well of finite radius R. The analytic expression for ρind(r) at the distances r ≫≫ R is obtained. It is shown that, for a wide range of potential parameters, the induced charge density can be represented as ρind(r) = F(r)LV, where F(r) depends only on distance and LV depends on the parameters of the potential. We also investigate the behavior of the induced charge density when the potential well depth close to the critical value.
Publisher
The Russian Academy of Sciences
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