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Title: Interplay between Riccati, Ermakov, and Schrödinger equations to produce complex‐valued potentials with real energy spectrum
Authors: Blanco García, Zurika
Rosas Ortiz, Óscar
Zelaya, Kevin
Issue Date: 2018
Publisher: Wiley
Description: Producción Científica
Citation: Mathematical Methods in the Applied Sciences, 2018
Abstract: 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.
Classification: Matemáticas
Teoría cuántica
Quantum theory
ISSN: 0170-4214
Peer Review: SI
Sponsor: Ministerio de Economía, Industria y Competitividad (Project MTM2014-57129-C2-1-P)
Junta de Castilla y León (programa de apoyo a proyectos de investigación - Ref. VA057U16)
CONACyT Scholarships. Grant Numbers: 45454, 489856
Publisher Version:
Language: eng
Rights: info:eu-repo/semantics/openAccess
Appears in Collections:FM - Artículos de revista

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