# Non-Hermitian inverted harmonic oscillator-type Hamiltonians generated from supersymmetry with reflections

@article{Mota2017NonHermitianIH, title={Non-Hermitian inverted harmonic oscillator-type Hamiltonians generated from supersymmetry with reflections}, author={R. D. Mota and D. Ojeda-Guill'en and M. Salazar-Ram'irez and V{\'i}ctor David Granados}, journal={Modern Physics Letters A}, year={2017} }

By modifying and generalizing known supersymmetric models, we are able to find four different sets of one-dimensional Hamiltonians for the inverted harmonic oscillator. The first set of Hamiltonians is derived by extending the supersymmetric quantum mechanics with reflections to non-Hermitian supercharges. The second set is obtained by generalizing the supersymmetric quantum mechanics valid for non-Hermitian supercharges with the Dunkl derivative instead of [Formula: see text]. Also, by…

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