Tesis profesional presentada por Eric Macedo Esparza [eric.macedoea@udlap.mx]

Miembro del Programa de Honores. Licenciatura en Física. Departamento de Actuaría, Física y Matemáticas. Escuela de Ciencias, Universidad de las Américas Puebla.

Jurado Calificador

Presidente: Dr. Victor Andreevich Vysloukh Enisova
Vocal y Director: Dr. Miguel Ángel Ocaña Bribiesca
Secretario: Dr. Martin Hentschinski

Cholula, Puebla, México a 15 de mayo de 2018.


We present the statistical analysis of the energy band structures of the Si and Eu crystals. This analysis was done to determine whether Eu manifests quantum chaology or not in its energy spectrum in the same way that Si does. This analysis gives further insight into the possible effects that the f orbitals have on the band spacing distribution such as the strong on-site Coulomb interactions. Furthermore, Hubbards U parameter proved to be an important factor in the correction of the model in order to obtain a more accurate calculation of the Hohenberg-Kohn functional. We find that our results for Si are in good agreement with those of Mucciolo et al. The results for Eu do not agree with those of Mucciolo et al. and are analyzed more thoroughly with velocity distributions.

Palabras clave: Estado Sólido, Caos, Lantánidos.

Table of content




Capítulo 1. Introduction

Capítulo 2. Theoretical Background

  • 2.1 Dynamical Systems and Quantum Chaos
  • 2.2 Density Functional Theory (DFT)

Capítulo 3. Results

  • 3.1 DFT
  • 3.2 Energy Level Spacing Distribution
  • 3.3 Velocity Distribution

Capítulo 4. Conclusions


Apéndice A. FORTAN Code

Apéndice B. Additional Figures

Macedo Esparza, E. 2018. Quantum Chaology Manifestations in Simple Rare-Earth Metal Electronic Structures. Tesis Licenciatura. Física. Departamento de Actuaría, Física y Matemáticas, Escuela de Ciencias, Universidad de las Américas Puebla. Mayo. Derechos Reservados © 2018.