Alexis F. Espinoza Q.

Theoretical Physics Portfolio & Academic Projects

About This Portfolio

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

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.

Event Details: View Indico Event Page

Poster Document (PDF): View Full Screen / Download

Presentation Photos:

📌 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.

Poster Document (PDF): View Full Screen / Download

Presentation Photos:

📌 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:

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.

📌 2D Quantum Box – Time‑Dependent Schrödinger Equation

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:

🎬 Simulation Videos Playlist

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:

https://github.com/AlexisFEspinozaQ/aespinoza-physics-portfolio.git

Feel free to reach out: aespinozaquinteros@gmail.com

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.

Explanatory Clips:

Simulation Videos

Additional video-based simulations will be added to this section soon.

Jupyter Notebooks

This section is currently under construction. Relevant interactive notebooks will be uploaded soon.

PDF Notes

This section is coming soon. Detailed theoretical notes and derivations will be available here.

Research Reports

Independent research projects and reports will be published here shortly.

Contact

If you want to reach out, feel free to contact me at: aespinozaquinteros@gmail.com