This portfolio gathers my personal and academic work in theoretical physics, including detailed notes,
numerical simulations, research reports, and visual experiments. The main focus areas include quantum
mechanics, general relativity, quantum field theory, and mathematical physics.
Topics Covered
Quantum Mechanics
General Relativity
Quantum Field Theory
Mathematical Physics
Numerical Simulations
Classical Mechanics & Thermodynamics
Internships & Research Experience
📌 SAPHIR Millennium Institute Summer Internship 2026
Poster presentation detailing my research work during the summer internship. The poster session took place at the Pontificia Universidad Católica de Chile, San Joaquín campus.
📌 University of Chile - Low Dimensional Systems Laboratory
Research internship conducted at Faculty of Science Campus, University of Chile. My work focused on instrument control and characterization systems, specifically utilizing LabVIEW for the integration and operation of an Alternating Gradient Force Magnetometer (AGFM) and a lock-in amplifier.
📌 Charged Particle Acceleration in a TM Resonant Cavity - Rectangular LINAC
This simulation illustrates the motion of a negatively charged classical particle accelerated inside a resonant cavity of a rectangular linear accelerator (LINAC). The electric field configuration approximates a transverse magnetic (TM) mode, restricted to a bounded spatial region within the cavity.
The visualization presents:
The particle's full trajectory through the cavity
The evolution of its velocity and kinetic energy
The electric field experienced along its path
A dynamic 3D visualization of the TM-like electric field inside the LINAC’s rectangular resonant cavity
This simulation is the first in an upcoming series on resonant-cavity-based electromagnetic accelerators. Future releases will cover the physical principles behind particle acceleration, resonant mode structures, relativistic extensions and RF phase synchronization, and the numerical methods used in Python for implementation and visualization.
This project showcases a numerical simulation of a quantum particle confined in a two‑dimensional infinite potential well. The time‑dependent Schrödinger equation is solved using the Crank–Nicolson implicit finite difference method.
The simulation explores wave reflection, interference, dispersion, and norm conservation.
All simulations, code, and detailed explanations are available below:
Below is the full playlist of all 10 simulation cases, each corresponding to different initial wave packet parameters. These videos are intended for academic and research purposes.
For more quantum simulation projects and numerical physics content, visit my Github portfolio:
Quantum particle in a 2D box- Numerical simulation video
Presentations & Talks
📌 Path Integrals y Propagador de Feynman - Dinámica Cuántica como una Suma Infinita de Historias
A comprehensive theoretical talk developed for the Academia Atómica initiative. The presentation delves into the formulation of quantum mechanics through Feynman's path integrals, conceptualizing quantum dynamics as an infinite sum over all possible histories.