Bound states in the dynamics of a dipole in the presence of a conical defect

Abstract

In this work we investigate the quantum dynamics of an electric dipole in a $(2+1)$-dimensional conical spacetime. For specific conditions, the Schrödinger equation is solved and bound states are found with the energy spectrum and eigenfunctions determined. We find that the bound states spectrum extends from minus infinity to zero with a point of accumulation at zero. This unphysical result is fixed when a finite radius for the defect is introduced.

arXiv comment4 pages

References in corpus (3)

• Renormalization of the Inverse Square Potential
• Elastic scattering and bound states in the Aharonov-Bohm potential superimposed by an attractive ${\rho }^{-2}$ potential
• Self-forces in the Spacetime of Multiple Cosmic Strings

Cited by in corpus (6)

• Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background
• On the quantum dynamics of a point particle in conical space
• Dipole binding in a cosmic string background due to quantum anomalies
• On the attractive inverse-square potential in the induced electric dipole system under the influence of the harmonic oscillator
• Modified attractive inverse-square potential in the induced electric dipole system
• Geometry-induced wavefunction collapse