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On higher order estimates in quantum electrodynamics
Documenta mathematica, Tome 15 (2010), pp. 207-234
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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.
DOI : 10.4171/dm/295
Classification : 81Q10, 81V10
Mots-clés : quantum electrodynamics, (Semi-relativistic) Pauli-Fierz operator, no-pair Hamiltonian, higher order estimates 
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     author = {Oliver Matte},
     title = {On higher order estimates in quantum electrodynamics},
     journal = {Documenta mathematica},
     pages = {207--234},
     year = {2010},
     volume = {15},
     doi = {10.4171/dm/295},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/295/}
}
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Oliver Matte. On higher order estimates in quantum electrodynamics. Documenta mathematica, Tome 15 (2010), pp. 207-234. doi: 10.4171/dm/295

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