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

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.

9 pages

References in corpus (3)

• Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background
• Singular inverse square potential in coordinate space with a minimal length
• On the attractive inverse-square potential in the induced electric dipole system under the influence of the harmonic oscillator