2024-03-28T12:54:31Zhttp://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/335922021-06-24T07:21:27Zcom_10324_22154com_10324_954com_10324_894col_10324_22155
2019-06-06T23:40:12Z
urn:hdl:10324/33592
Interplay between Riccati, Ermakov, and Schrödinger equations to produce complex‐valued potentials with real energy spectrum
Blanco García, Zurika
Rosas Ortiz, Óscar
Zelaya, Kevin
Producción Científica
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.
2018-12-20T08:25:16Z
2019-06-06T23:40:12Z
2018
info:eu-repo/semantics/article
Mathematical Methods in the Applied Sciences, 2018
0170-4214
http://uvadoc.uva.es/handle/10324/33592
https://doi.org/10.1002/mma.5069
eng
https://onlinelibrary.wiley.com/doi/10.1002/mma.5069
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
Attribution-NonCommercial-NoDerivatives 4.0 International
Wiley