On the point limit of the Pauli-Fierz model
Annales de l'I.H.P. Physique théorique, Tome 71 (1999) no. 4, pp. 425-457. 
@article{AIHPA_1999__71_4_425_0,
     author = {Noja, Diego and Posilicano, Andrea},
     title = {On the point limit of the {Pauli-Fierz} model},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {425--457},
     publisher = {Gauthier-Villars},
     volume = {71},
     number = {4},
     year = {1999},
     mrnumber = {1721555},
     zbl = {0958.78007},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1999__71_4_425_0/}
}
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
SP  - 425
EP  - 457
VL  - 71
IS  - 4
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1999__71_4_425_0/
LA  - en
ID  - AIHPA_1999__71_4_425_0
ER  - 
%0 Journal Article
%A Noja, Diego
%A Posilicano, Andrea
%T On the point limit of the Pauli-Fierz model
%J Annales de l'I.H.P. Physique théorique
%D 1999
%P 425-457
%V 71
%N 4
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPA_1999__71_4_425_0/
%G en
%F AIHPA_1999__71_4_425_0
Noja, Diego; Posilicano, Andrea. On the point limit of the Pauli-Fierz model. Annales de l'I.H.P. Physique théorique, Tome 71 (1999) no. 4, pp. 425-457. http://www.numdam.org/item/AIHPA_1999__71_4_425_0/

[1] S. Albeverio, F. Gesztesy, R. Høegh-Krohn and H. Holden, Solvable Models in Quantum Mechanics, Springer, New York, 1988. | MR | Zbl

[2] A. Arai, Rigorous theory of spectra and radiation for a model in quantum electrodynamics, J. Math. Phys. 24 (1983) 1896-1910. | MR | Zbl

[3] P. Blanchard, Discussion mathematique du modèle de Pauli-Fierz relatif au catastrophe infrarouge, Commun. Math. Phys. 15 (1969) 156-172. | MR

[4] P.A.M. Dirac, Classical theory of radiating electrons, Proc. Roy. Soc. A 167 (1938) 148-168. | JFM | Zbl

[5] H.O. Fattorini, Second Order Linear Differential Equations in Banach Spaces, North-Holland, Amsterdam, 1985. | MR | Zbl

[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] H.A. Lorentz, The Theory of Electrons, 2nd Ed., Dover, New York, 1952.

[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 Poincaré 68 (1998) 351-377. | Numdam | MR | Zbl

[9] W. Pauli and M. Fierz, Zur Theorie der Emission Langwelliger Lichtquanten, Nuovo Cimento 15 (1938) 168-188. | JFM

[10] N.G. Vankampen, Contributions to the quantum theory of light scattering, Kgl. Danske. Videnskab. Selskab, Mat. Fys. Medd. 26 (15) (1951). | Zbl