2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50590We sketch briefly the essentials of the quantum groups and their application to the dynamics of a q-deformed simple harmonic oscillator moving on a quantum line, defined in the q-deformed cotangent (momentum phase) space. In this endeavour, the quantum group $GL_{qp} (2)$- and the conventional rotational invariances are respected together. During the course of this discussion, we touch upon Rajaji's personality as a critical physicist and a bold and adventurous man of mathematical physics.LaTeX, 7 ppHigh Energy Physics - Theorytext