Theoretical Physics Portfolio & Academic Projects
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.
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.
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:
https://github.com/AlexisFEspinozaQ/aespinoza-physics-portfolio.git
Feel free to reach out: aespinozaquinteros@gmail.com
If you want to reach out, feel free to contact me at: aespinozaquinteros@gmail.com