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={Roberto 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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6 Citations

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Anti- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:mrow><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:mrow></mml:math>-Symmetric Harmonic Oscillator and its Relation to the Inverted Harmonic Oscillator

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