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

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

URL: http://arxiv.org/abs/2402.04294v1
Date: Tue, 6 Feb 2024 10:48:44 GMT
Title: Modified attractive inverse-square potential in the induced electric dipole system
Authors: K. Bakke and J. G. G. S. Ramos
Abstract summary: Investigation unveils the emergence of a distinct modified attractive-inverse square potential. We present compelling evidence for the realization of a discrete energy spectrum within this intricate system.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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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