2026-04-30T05:10:29Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/335922025-03-26T19:10:02Zcom_10324_22154com_10324_954com_10324_894col_10324_22155

Blanco García, Zurika Rosas Ortiz, Óscar Zelaya, Kevin 2018-12-20T08:25:16Z 2019-06-06T23:40:12Z 2018 Mathematical Methods in the Applied Sciences, 2018 0170-4214 http://uvadoc.uva.es/handle/10324/33592 10.1002/mma.5069 Nonlinear Riccati and Ermakov equations are combined to pair the energy spectrum of 2 different quantum systems via the Darboux method. One of the systems is assumed Hermitian, exactly solvable, with discrete energies in its spectrum. The other system is characterized by a complex‐valued potential that inherits all the energies of the former one and includes an additional real eigenvalue in its discrete spectrum. If such eigenvalue coincides with any discrete energy (or it is located between 2 discrete energies) of the initial system, its presence produces no singularities in the complex‐valued potential. Non‐Hermitian systems with spectrum that includes all the energies of either Morse or trigonometric Pöschl‐Teller potentials are introduced as concrete examples. eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Attribution-NonCommercial-NoDerivatives 4.0 International Interplay between Riccati, Ermakov, and Schrödinger equations to produce complex‐valued potentials with real energy spectrum info:eu-repo/semantics/article