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arXiv · 2402.04294

Modified attractive inverse-square potential in the induced electric dipole system

K. Bakke·J. G. G. S. Ramos
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Abstract

We examine the spatial distribution of electric charges within an extended, non-conductive cylinder featuring an inner radius denoted as $r_{0}$. Our investigation unveils the emergence of a distinct modified attractive-inverse square potential, arising from the intricate interplay between the electric field and the induced electric dipole moment of a neutral particle. This modified potential notably departs from the conventional inverse-square potential, showcasing an additional term proportional to $r^{-1}$. As a result, we present compelling evidence for the realization of a discrete energy spectrum within this intricate system.

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K. Bakke, J. G. G. S. Ramos. 2024-02-06. Modified attractive inverse-square potential in the induced electric dipole system. https://doi.org/10.1007/s00601-023-01873-2

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