Generative Pre-Trained Physics-Informed Neural Networks Implementation

The paper commences by examining the geometric properties of de-Sitter space-time, with a specific focus on the isometries generated by Killing vectors.

Nonlinear MetaMaterials MPI solver

Steinmetz, A. Modern topics in relativistic spin dynamics and magnetism. PhD dissertation. University of Arizona, 2023.

Steinmetz, A., Formanek, M. & Rafelski, J. Magnetic dipole moment in relativistic quantum mechanics. Eur. Phys. J. A 55, 40 (2019).

Python program that solves the dynamic equation of motion of a scalar field in 2+1 dimensions, over a cosmological background, and which comes from a potential that allows the formation of domain walls (double-well potential)

ME 69700 – Nonlinear Wave Mechanics

The method of stationary phase and the centred-difference approximation are used to generate the finite-difference scheme for solving Klein-Gordon equation in MATLAB.

A novel solution to the Klein-Gordon equation in the presence of a strong rotating electric field