2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51496A re-formulated, non-Hermitian version of the Witten's supersymmetric quantum mechanics is presented. Its use of pseudo-Hermitian (so called PT symmetric) Hamiltonians is reviewed and illustrated via several forms of an innovated supersymmetric partnership between strongly singular ("spiked") harmonic oscillators.Summary of conference talk: XXIV ICGTMP (Group 24), Paris, July 15 - 20, 2002 (4 pages, latex)High Energy Physics - Theorytext