| Issue |
EPL
Volume 135, Number 4, August 2021
|
|
|---|---|---|
| Article Number | 40002 | |
| Number of page(s) | 7 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/ac1c36 | |
| 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
(a) abouzaid@usc.edu (corresponding author)
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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