6533b83afe1ef96bd12a7a87
RESEARCH PRODUCT
Infrared-finite algorithms in QED II. The expansion of the groundstate of an atom interacting with the quantized radiation field
Volker BachJürg FröhlichAlessandro Pizzosubject
Mathematics(all)PhotonInfraredGeneral MathematicsAtom (order theory)Order (ring theory)Position and momentum spaceFine-structure constantsymbols.namesakeQuantum mechanicsTaylor seriessymbolsAlgorithmEnergy (signal processing)Mathematicsdescription
Abstract In this paper, we present an explicit and constructive algorithm enabling us to calculate the groundstate and the groundstate energy of a non-relativistic atom minimally coupled to the quantized radiation field up to an error of arbitrary finite order in the fine structure constant. Because of infrared divergences, which invalidate a straightforward Taylor expansion, an iterative construction is employed to remove the infrared cut-off in photon momentum space and to produce a convergent algorithm.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-03-01 | Advances in Mathematics |