Interplay between Riccati, Ermakov and Schroedinger equations to produce complex-valued potentials with real energy spectrum

Zurika Blanco-Garcia, Oscar Rosas-Ortiz, Kevin Zelaya

Nonlinear Riccati and Ermakov equations are combined to pair the energy spectrum of two different quantum systems via the Darboux method. One of the systems is assumed Hermitian, e…