RELATIVISTIC HARMONIC-OSCILLATOR AND SPACE CURVATURE

Citation
Jp. Gazeau et J. Renaud, RELATIVISTIC HARMONIC-OSCILLATOR AND SPACE CURVATURE, Physics letters. A, 179(2), 1993, pp. 67-71
Citations number
13
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
179
Issue
2
Year of publication
1993
Pages
67 - 71
Database
ISI
SICI code
0375-9601(1993)179:2<67:RHASC>2.0.ZU;2-8
Abstract
Using simple group theoretical arguments we show how introducing a cur vature parameter kappa=omega/c for a harmonic oscillator of mass m and frequency omega leads to an elementary entity of energy E0=mc2+1/2hom egaBAR+O(kappa). This entity is a deformation of both an elementary vi bration (rest energy 1/2homegaBAR) and an elementary particle (rest en ergy mc2).