@inbook{3f704f69af7143f2a8376836f797a2dc,
title = "On the construction of non-hermitian hamiltonians with all-real spectra through supersymmetric algorithms",
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 = "Darboux transformations, Ermakov equation, Non-Hermitian Hamiltonians, PT-symmetry, Supersymmetric quantum mechanics",
author = "Kevin Zelaya and {Cruz y Cruz}, Sara and Oscar Rosas-Ortiz",
note = "Publisher Copyright: {\textcopyright} 2020, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2020",
doi = "10.1007/978-3-030-53305-2_18",
language = "Ingl{\'e}s",
series = "Trends in Mathematics",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "283--292",
booktitle = "Trends in Mathematics",
address = "Alemania",
}