2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51353Following a recent study by Das and Pernice [Nucl. Phys. B561, (1999) 357], we have carefully analyzed the half-harmonic oscillator. In contrast to their observations, our analysis reveals that the spectrum does not allow for a zero energy ground state and hence the supersymmetry is broken when the domain is restricted to the positive half of the real axis.Latex file, 5 pagesHigh Energy Physics - Theorytext