2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184316We extend to quantum mechanics the technique of stochastic subordination, by means of which one can express any semi-martingale as a time-changed Brownian motion. As examples, we considered two versions of the q-deformed Harmonic oscillator in both ordinary and imaginary time and show how these various cases can be understood as different patterns of time quantization rules.4 pages, 2 figuresHigh Energy Physics - Theorytext