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/
BYU ScholarsArchive Citation
McGhie, Devin Burnell, "Some Spectral Properties of a Quantum Field Theoretic Hamiltonian" (2016). Theses and Dissertations. 6586.
https://scholarsarchive.byu.edu/etd/6586
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