On the point limit of the Pauli-Fierz model

Diego Noja; Andrea Posilicano

Annales de l'I.H.P. Physique théorique (1999)

  • Volume: 71, Issue: 4, page 425-457
  • ISSN: 0246-0211

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Noja, Diego, and Posilicano, Andrea. "On the point limit of the Pauli-Fierz model." Annales de l'I.H.P. Physique théorique 71.4 (1999): 425-457. <http://eudml.org/doc/76841>.

@article{Noja1999,
author = {Noja, Diego, Posilicano, Andrea},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Maxwell-Lorentz system; Pauli-Fierz model; interaction of a free charged point particle with the electromagnetic field; electrodynamics of point particles},
language = {eng},
number = {4},
pages = {425-457},
publisher = {Gauthier-Villars},
title = {On the point limit of the Pauli-Fierz model},
url = {http://eudml.org/doc/76841},
volume = {71},
year = {1999},
}

TY - JOUR
AU - Noja, Diego
AU - Posilicano, Andrea
TI - On the point limit of the Pauli-Fierz model
JO - Annales de l'I.H.P. Physique théorique
PY - 1999
PB - Gauthier-Villars
VL - 71
IS - 4
SP - 425
EP - 457
LA - eng
KW - Maxwell-Lorentz system; Pauli-Fierz model; interaction of a free charged point particle with the electromagnetic field; electrodynamics of point particles
UR - http://eudml.org/doc/76841
ER -

References

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  1. [1] S. Albeverio, F. Gesztesy, R. Høegh-Krohn and H. Holden, Solvable Models in Quantum Mechanics, Springer, New York, 1988. Zbl0679.46057MR926273
  2. [2] A. Arai, Rigorous theory of spectra and radiation for a model in quantum electrodynamics, J. Math. Phys.24 (1983) 1896-1910. Zbl0944.81055MR709529
  3. [3] P. Blanchard, Discussion mathematique du modèle de Pauli-Fierz relatif au catastrophe infrarouge, Commun. Math. Phys.15 (1969) 156-172. MR256676
  4. [4] P.A.M. Dirac, Classical theory of radiating electrons, Proc. Roy. Soc. A167 (1938) 148-168. Zbl0023.42702JFM64.1481.03
  5. [5] H.O. Fattorini, Second Order Linear Differential Equations in Banach Spaces, North-Holland, Amsterdam, 1985. Zbl0564.34063MR797071
  6. [6] H.A. Kramers, Nonrelativistic quantum electrodynamics and the correspondence principle, in: R. Stoops, ed., Rapports et Discussions du Huitieme Conseil de Physique Solvay, Brussels, 1950. 
  7. [7] H.A. Lorentz, The Theory of Electrons, 2nd Ed., Dover, New York, 1952. 
  8. [8] D. Noja and A. Posilicano, The wave equation with one point interaction and the (linearized) classical electrodynamics of a point particle, Ann. Inst. Henri Poincaré68 (1998) 351-377. Zbl0923.35172MR1622543
  9. [9] W. Pauli and M. Fierz, Zur Theorie der Emission Langwelliger Lichtquanten, Nuovo Cimento15 (1938) 168-188. JFM64.1487.01
  10. [10] N.G. Vankampen, Contributions to the quantum theory of light scattering, Kgl. Danske. Videnskab. Selskab, Mat. Fys. Medd.26 (15) (1951). Zbl0045.28105

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