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

📌 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 focuses on the evolution of Gaussian wave packets with varying initial conditions, exploring wave reflection, interference, dispersion, and norm conservation. Each case illustrates unique physical phenomena depending on the packet’s initial momentum, position, direction, and spread.

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

Contact

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