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 . 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.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
McGhie, Devin Burnell, "Some Spectral Properties of a Quantum Field Theoretic Hamiltonian" (2016). Theses and Dissertations. 6586.
spectral properties, quantum field theory, electron, photon