On Hamiltonians with position-dependent mass from Kaluza-Klein compactifications
Abstract
In a recent paper (J.R. Morris, Quant. Stud. Math. Found. 2 (2015) 359), an inhomogeneous compactification of the extra dimension of a five-dimensional Kaluza-Klein metric has been shown to generate a position-dependent mass (PDM) in the corresponding four-dimensional system. As an application of this dimensional reduction mechanism, a specific static dilatonic scalar field has been connected with a PDM Lagrangian describing a well-known nonlinear PDM oscillator. Here we present more instances of this construction that lead to PDM systems with radial symmetry, and the properties of their corresponding inhomogeneous extra dimensions are compared with the ones in the nonlinear oscillator model. Moreover, it is also shown how the compactification introduced in this type of models can alternatively be interpreted as a novel mechanism for the dynamical generation of curvature.
Cite
@article{arxiv.1605.06829,
title = {On Hamiltonians with position-dependent mass from Kaluza-Klein compactifications},
author = {Ángel Ballesteros and Iván Gutiérrez-Sagredo and Pedro Naranjo},
journal= {arXiv preprint arXiv:1605.06829},
year = {2017}
}
Comments
11 pages, 6 figures. New figures. Updated to match the published version in Physics Letters A