On November 27, I successfully defended my PhD thesis. Now, I Am sharing the dissertation document at the folder docs. There you will find the PDF in Spanish language, but in the reference list you will get the journal articles in which the thesis is based.
Note: Notebooks are unchanged since the last visible commit
A little description of the ipynb notebooks are as follow:
- Circular, Lineal, Kravchuk, and Binom_Final, belongs to the evolution of arrays of masses (Chapter 1) [1]
- KvN_NumHyp, KvN__NumOsc, and KvN__Final, belongs to the Koopman von Neumann analysis of 1D time-dependent frequency harmonic oscillator (Chapter 2 and 3) [2,3]
- Light_Propagation, belongs to the analysis of optical fields in propagation over non-homegeneous medium (Chapter 4) [4]
[1] Urzúa, A. R., Ramos-Prieto, I., Soto-Eguibar, F., & Moya-Cessa, H. (2020). Dynamical analysis of mass–spring models using Lie algebraic methods. Physica A: Statistical Mechanics and Its Applications, 540, 123193 DOI
[2] Ramos-Prieto, I., Urzúa-Pineda, A. R., Soto-Eguibar, F., & Moya-Cessa, H. M. (2018). KvN mechanics approach to the time-dependent frequency harmonic oscillator. Scientific Reports, 8(1) DOI
[3] Urzúa, A. R., Ramos-Prieto, I., Fernández-Guasti, M., & Moya-Cessa, H. M. (2019). Solution to the Time-Dependent Coupled Harmonic Oscillators Hamiltonian with Arbitrary Interactions. Quantum Reports, 1(1), 82–90 DOI
[4] Urzúa, A. R., Ramos-Prieto, I., Soto-Eguibar, F., Arrizón, V., & Moya-Cessa, H. M. (2019). Light propagation in inhomogeneous media, coupled quantum harmonic oscillators and phase transitions. Scientific Reports, 9(1) DOI