On Higher Order Estimates in Quantum Electrodynamics

We propose a new method to derive certain higher order estimates in quantum electrodynamics. Our method is particularly convenient in the application to the non-local semi-relativistic models of quantum electrodynamics as it avoids the use of iterated commutator expansions. We re-derive higher order estimates obtained earlier by Fröhlich, Griesemer, and Schlein and prove new estimates for a non-local molecular no-pair operator.

2010 Mathematics Subject Classification: 81Q10, 81V10.

Keywords and Phrases: (Semi-relativistic) Pauli-Fierz operator, no-pair Hamiltonian, higher order estimates, quantum electrodynamics.

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