Geometric models of (d+1)-dimensional relativistic rotating oscillators
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
Geometric models of quantum relativistic rotating oscillators in arbitrary dimensions are defined on backgrounds with deformed anti-de Sitter metrics. It is shown that these models are analytically solvable, deriving the formulas of the energy levels and corresponding normalized energy eigenfunctions. An important property is that all these models have the same nonrelativistic limit, namely the usual harmonic oscillator.
Cite
@article{arxiv.gr-qc/9910003,
title = {Geometric models of (d+1)-dimensional relativistic rotating oscillators},
author = {Ion I. Cotăescu},
journal= {arXiv preprint arXiv:gr-qc/9910003},
year = {2009}
}
Comments
7 pages, Latex