  The quantum modes of a new family of relativistic oscillators are studied by using the supersymmetry and shape invariance in a version suitable for (1+1) dimensional relativistic systems. In this way one obtains the Rodrigues formulas of the normalized energy eigenfunctions of the discrete spectra and the corresponding rising and lowering operators.   Pacs: 04.62.+v, 03.65.Ge 
The quantum modes of the (1+1)-dimensional oscillators in general   relativity