2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50433Harmonic oscillators with a centrifugal spike are analysed, via a non-Hermitian regularization, within a complexified SUSY quantum mechanics. The formalism enables us to construct the factorized creation and annihilation operators. We show how the real though, generically, non-equidistant spectrum complies with the current SUSY-type isospectrality and degeneracy in an unusual way.19 pages and 7 tables for Tuesday seminar in Bratislava. Version 2: 15 pages, submittedHigh Energy Physics - Theorytext