On the construction of non-Hermitian Hamiltonians with all-real spectra through supersymmetric algorithms
Quantum Physics
2020-11-04 v2
Abstract
The energy spectra of two different quantum systems are paired through supersymmetric algorithms. One of the systems is Hermitian and the other is characterized by a complex-valued potential, both of them with only real eigenvalues in their spectrum. The superpotential that links these systems is complex-valued, parameterized by the solutions of the Ermakov equation, and may be expressed either in nonlinear form or as the logarithmic derivative of a properly chosen complex-valued function. The non-Hermitian systems can be constructed to be either parity-time-symmetric or non-parity-time-symmetric.
Keywords
Cite
@article{arxiv.2001.02794,
title = {On the construction of non-Hermitian Hamiltonians with all-real spectra through supersymmetric algorithms},
author = {Kevin Zelaya and Sara Cruz y Cruz and Oscar Rosas-Ortiz},
journal= {arXiv preprint arXiv:2001.02794},
year = {2020}
}
Comments
9 pages, 2 figures (affiliation institution corrected)