BYU

Abstract by Jared Coleman

Personal Infomation


Presenter's Name

Jared Coleman

Degree Level

Undergraduate

Abstract Infomation


Department

Mathematics

Faculty Advisor

Scott Glasgow

Title

Investigating Photon-Photon Interactions and Insights to the Nonlinearity of the Vacuum

Abstract

Two-photon physics has been a topic of interest since the beginning of Quantum Electrodynamics (QED), as this hypothesis is one that delineates QED from standard quantum mechanics. The purpose of this investigation of photon-photon interactions is to reveal the effects of interactions between photons via virtual electron-positron pairs under QED, and potentially discover its implications on the nonlinearity of the vacuum, that by so doing we might show the fundamental nature of the QED Hamiltonian. This will be accomplished taking inner product between the QED Hamiltonian and the projector containing input photons and the corresponding output photon and electron-positron pair.