Open AccessParticle Trajectories For Compton Scattering in One Space Dimension
Author(s) -
Adriana Scanteianu,
Xiangyue Wang
Publication year - 2021
Publication title -
aresty rutgers undergraduate research journal
Language(s) - English
Resource type - Journals
ISSN - 2766-2918
DOI - 10.14713/arestyrurj.v1i2.157
Subject(s) - compton scattering , physics , de broglie–bohm theory , photon , compton wavelength , momentum (technical analysis) , space (punctuation) , core (optical fiber) , scattering , classical mechanics , dimension (graph theory) , theoretical physics , function (biology) , electron , wave function , quantum mechanics , quantum , mathematics , computer science , optics , pure mathematics , finance , evolutionary biology , economics , biology , operating system
Using a relativistic extension of Bohmian Me-chanics known as Multi-Time Wave Function formula-tion, we examine a two-body, one-dimensional sys-tem consisting of one photon and one electron that interact only upon contact. We investigate the effects that various parameters in this theory including mo-mentum of the incoming photon and mass of the electron have on the dynamics of the two interact-ing bodies with the goal of understanding conser-vation of momentum and energy in the system. We show that the core principles of Compton scattering remain when we use this alternative formulation of quantum mechanics. Although a complete relativ-istic theory of Bohmian mechanics has yet to be de-veloped, our work aims to make the ideas in this the-ory more accessible to a wider audience.