Volume 135, Number 4, August 2021
|Number of page(s)||7|
|Published online||22 October 2021|
Supersymmetry with scattering states
1 Department of Electrical and Computer Engineering, University of Southern California Los Angeles, CA 90089-2533, USA
2 Department of Physics and Astronomy, University of Southern California - Los Angeles, CA 90089-0484, USA
Received: 29 May 2021
Accepted: 10 August 2021
Supersymmetric partner potentials calculated using single-particle non-reflecting scattering states are localized complex potentials with real eigenvalues. If the initial potential is a symmetric real potential then the partner potential is PT-symmetric. In particular cases, complex conduction band edge profiles are found that yield supersymmetric partner total potentials evaluated using scattering states in the context of self-consistent Schrödinger-Poisson equations.
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