PT symmetry and supersymmetry

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A 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)

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