Gravitational Atom in Compactified Extra Dimensions
E.G. Floratos, G.K. Leontaris, N.D. Vlachos
TL;DR
This paper investigates how extra compactified dimensions modify Newtonian gravity, affecting quantum bound states, and proposes methods to detect these effects through energy spectrum measurements.
Contribution
It introduces a novel approach to solve the Schrödinger equation with Yukawa-type gravitational corrections due to extra dimensions, enabling analysis of potential experimental detection.
Findings
Derived energy shifts in gravitational bound states due to extra dimensions
Developed a method to solve the Schrödinger equation with modified potentials
Discussed experimental prospects for detecting these quantum gravitational effects
Abstract
We consider quantum mechanical effects of the modified Newtonian potential in the presence of extra compactified dimensions. We develop a method to solve the resulting Schroedinger equation and determine the energy shifts caused by the Yukawa-type corrections of the potential. We comment on the possibility of detecting the modified gravitational bound state Energy spectrum by present day and future experiments.
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