Model of a relativistic oscillator in a generalized Schr\"odinger picture
High Energy Physics - Theory
2015-05-18 v4 Quantum Physics
Abstract
In a generalized Schr\"odinger picture, we consider the motion of a relativistic particle in an external field (like in the case of a harmonic oscillator). In this picture the analogs of the Schr\"odinger operators of the particle are independent of both the time and the space coordinates. These operators induce operators which are related to Killing vectors of the Anti de Sitter (AdS) space. We also consider the nonrelativistic limit.
Keywords
Cite
@article{arxiv.1004.2433,
title = {Model of a relativistic oscillator in a generalized Schr\"odinger picture},
author = {Rudolf A. Frick},
journal= {arXiv preprint arXiv:1004.2433},
year = {2015}
}
Comments
16 pages, physical discussion extended to three dimensional problem (spin=0)