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Título : Quantum disc plus inverse square potential. An analytical model for two-dimensional quantum rings : study of nonlinear optical properties
Autor : Duque Jiménez, Carlos Mario
Asesor : Mora Ramos, Miguel Eduardo
Palabras clave : Óptica no lineal
Anillos cuánticos
Propiedades ópticas
Arseniuro de Galio
Física cuántica
Mecánica cuántica
Fecha de publicación : 2013
Editorial : Universidad de Antioquia
Citación : Duque Jiménez, C. (1023). Quantum disc plus inverse square potential. An analytical model for two-dimensional quantum rings : study of nonlinear optical properties (Tesis de Maestría). Universidad de Antioquia, Medellín.
Abstract : We will here dedicate to investigate the electronic states in quantum disks which are under the combined influence of two different types of confinement profiles: one parabolic type and one originating from the action of a potential that depends inversely on the square of the distance. All this is complemented by the presence of an externally applied magnetic field. It must be said that the inverse square potential appeared as a model for the interaction between particles in the quantum problem of N particles in a parabolic potential and with an additional magnetic field. We will discuss how the inclusion of this kind of potential along with the other two mentioned fields can serve as a fairly direct model for charge carriers states confined in a one dimensional semiconductor quantum ring. We will demonstrate that the corresponding electronic eigenstates from the Schrödinger like effective mass equation in the conduction band can be obtained analytically. Then, with the use of these states so determined we will calculate the linear and nonlinear contributions to the optical absorption coefficients and relative change of refraction index on a system with the above geometry, based on GaAs
Programa Académico : Maestría en Física
URI : http://hdl.handle.net/10495/3910
Aparece en las colecciones: Maestrías en Ciencias Exactas y Naturales

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