- The Quantum Mechanics of an Electron Surrounded by Two Photons
- Project Year:
2021
- REU Student (s):
Hallie Byatt | Georgia Institute of Technology-Main Campus GA
- Student 1 Institution:
Georgia Institute of Technology-Main Campus
- Project Mentor:
Shadi Tahvildar-Zadeh
- Project Mentor Area:
Mathematics
- Project Abstract:
I formulated a relativistic Lorentz-covariant system of wave equations for a three-body, three-time one-dimensional system consisting of two photons and one electron. These particles interact only upon contact, where a boundary condition is applied to preserve the conservation of probability current. The solutions for various configurations of the initial-boundary value problem were found, and hopefully will pave the way to finding the solutions for a system of one electron surrounded by N photons.
