Ground State and Resonances in the Standard Model of Non-relativistic QED

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.

50 pages changes

References in corpus (2)

• Absence of Ground States for a Class of Translation Invariant Models of Non-relativistic QED
• On the Lifetime of Quasi-Stationary States in Non-Relativistic QED

Cited by in corpus (2)

• Symmetries in non-relativistic quantum electrodynamics
• Differential Equations of Quantum Mechanics