Physica Scripta
From nonrelativistic to relativistic properties of quantum harmonic oscillators
J. Beckers, Jean Ndimubandi
Abstract
We investigate some possible connections between two recent approaches of so-called relativistic harmonic oscillators compatible with well known nonrelativistic properties. These approaches are not equivalent but can be related through simple arguments based on quantum deformations of oscillatorlike algebras when one-dimensional spatial developments are visited.