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

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 t...

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Bibliographic Details

Published in:	Mathematical methods in the applied sciences Vol. 42; no. 15; pp. 4925 - 4938
Main Authors:	Blanco‐Garcia, Zurika, Rosas‐Ortiz, Oscar, Zelaya, Kevin
Format:	Journal Article
Language:	English
Published:	Freiburg Wiley Subscription Services, Inc 01.10.2019
Subjects:	Eigenvalues Energy spectra general mathematical topics and methods in quantum theory Mathematical analysis Nonlinear equations non‐selfadjoint operator theory in quantum theory quantum theory Schrodinger equation Singularity (mathematics) supersymmetry and quantum mechanics
ISSN:	0170-4214, 1099-1476
Online Access:	Get full text
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