Ground state degeneracy of the Pauli-Fierz Hamiltonian inlcuding spin (original) (raw)
2002, arXiv (Cornell University)
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Some Spectral Properties of a Quantum Field Theoretic Hamiltonian
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Some Spectral Properties of a Quantum Field Theoretic Hamiltonian Devin Burnell McGhie Department of Mathematics, BYU Master of Science We derive the ground-state eigenvalues and eigenvectors for a simplified version of the 1D 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.
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