RT info:eu-repo/semantics/article
T1 Interplay between Riccati, Ermakov, and Schrödinger equations to produce complex‐valued potentials with real energy spectrum
A1 Blanco García, Zurika
A1 Rosas Ortiz, Óscar
A1 Zelaya, Kevin
K1 Matemáticas
K1 Teoría cuántica
K1 mathematical
K1 Quantum theory
AB 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.
PB Wiley
SN 0170-4214
YR 2018
FD 2018
LK http://uvadoc.uva.es/handle/10324/33592
UL http://uvadoc.uva.es/handle/10324/33592
LA eng
NO Mathematical Methods in the Applied Sciences, 2018
NO Producción Científica
DS UVaDOC
RD 23-nov-2024