Ground State and Resonances in the Standard Model of Non-relativistic QED
arXiv:0806.3297 · doi:10.1007/s10955-009-9721-5
Abstract
We prove existence of a ground state and resonances in the standard model of the non-relativistic quantum electro-dynamics (QED). To this end we introduce a new canonical transformation of QED Hamiltonians and use the spectral renormalization group technique with a new choice of Banach spaces.
arXiv comment50 pages changes
References in corpus (6)
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Cited by in corpus (10)
- Spectral Renormalization Group and Local Decay in the Standard Model of the Non-relativistic Quantum Electrodynamics
- Uniqueness of the ground state in the Feshbach renormalization analysis
- Analyticity of Resonances and Eigenvalues and Spectral Properties of the massless Spin-Boson Model
- Quantum Electrodynamics of Atomic Resonances
- Relation between the Resonance and the Scattering Matrix in the massless Spin-Boson Model
- Atom-wall dispersive forces: a microscopic approach
- Renormalization Analysis for Degenerate Ground States
- Hyperfine splitting of the dressed hydrogen atom ground state in non-relativistic QED
- Symmetries in non-relativistic quantum electrodynamics
- Differential Equations of Quantum Mechanics