Using a PT symmetric regularization technique we reminad the reader that and how (a) the SUSY is re-established between the two shifted harmonic oscillator potentials $ V(q)=q^2+{G}/{q^2}+ const$ and (b) many non-equivalent Hermitian and non-Hermitian (PT symmetric) systems may often be studied in parallel (with a schematic solvable illustrative example added).

arXiv:hep-th/0203252Mar 27, 20020 citations

Reports on Mathematical Physics

Anti- PT -Symmetric Harmonic Oscillator and its Relation to the Inverted Harmonic Oscillator

Nadjat Amaouche, Ishak Bouguerche, Rahma Zerimeche, Mustapha Maamache

Published Nov 30, 2022• 3 citations

Publisher

DOI: 10.1016/s0034-4877(22)00083-0

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\mathcal{PT}

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