Geometric Models of the Relativistic Harmonic Oscillator

Preprint
Publisher Website
Google Scholar
Abstract
A family of relativistic geometric models is defined as a generalization of the actual anti-de Sitter (1+1) model of the relativistic harmonic oscillator. It is shown that all these models lead to the usual harmonic oscillator in the non-relativistic limit, even though their relativistic behavior is quite different. Among quantum models we find a set of models with countable energy spectra, and another one having only a finite number of energy levels and in addition a continuous spectrum.

This publication has 0 references indexed in Scilit: