Abstract

We derive the ground-state eigenvalues and eigenvectors for a simplified version of the 1-D QED single electron-photon model that Glasgow et al recently developed [2]. This model still allows for meaningful interaction between electrons and photons while keeping only the minimum needed to do so. We investigate the interesting spectral properties of this model. We determine that the eigenvectors are orthogonal as one would expect and normalize them.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2016-12-01

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd8995

Keywords

spectral properties, quantum field theory, electron, photon

Language

english

Included in

Mathematics Commons

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