On the classical limit and the infrared problem for non-relativistic fermions interacting with the electromagnetic field
Annales de l'I.H.P. Physique théorique, Tome 41 (1984) no. 2, pp. 143-170. 
@article{AIHPA_1984__41_2_143_0,
     author = {Ruiz Ruiz, F. and Alvarez-Estrada, R. F.},
     title = {On the classical limit and the infrared problem for non-relativistic fermions interacting with the electromagnetic field},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {143--170},
     publisher = {Gauthier-Villars},
     volume = {41},
     number = {2},
     year = {1984},
     mrnumber = {769153},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1984__41_2_143_0/}
}
TY  - JOUR
AU  - Ruiz Ruiz, F.
AU  - Alvarez-Estrada, R. F.
TI  - On the classical limit and the infrared problem for non-relativistic fermions interacting with the electromagnetic field
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1984
SP  - 143
EP  - 170
VL  - 41
IS  - 2
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1984__41_2_143_0/
LA  - en
ID  - AIHPA_1984__41_2_143_0
ER  - 
%0 Journal Article
%A Ruiz Ruiz, F.
%A Alvarez-Estrada, R. F.
%T On the classical limit and the infrared problem for non-relativistic fermions interacting with the electromagnetic field
%J Annales de l'I.H.P. Physique théorique
%D 1984
%P 143-170
%V 41
%N 2
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPA_1984__41_2_143_0/
%G en
%F AIHPA_1984__41_2_143_0
Ruiz Ruiz, F.; Alvarez-Estrada, R. F. On the classical limit and the infrared problem for non-relativistic fermions interacting with the electromagnetic field. Annales de l'I.H.P. Physique théorique, Tome 41 (1984) no. 2, pp. 143-170. http://www.numdam.org/item/AIHPA_1984__41_2_143_0/

[1] F. Rohrlich, Fundamental Physical Problems of Quantum Electrodynamics in Foundatios of Radiation Theory and Quantum Electrodynamics. Edited by A. O. Barut, Plenum Press, New York, 1980.

[2] I. Bialynicki-Birula, Acta Phys. Austriaca XVIII, t. 111, 1977.

[3] F. Bloch and A. Nordsieck, Phys. Rev., t. 52, 1937, p. 54, | JFM | Zbl

W. Braunbeck and E. Winmann, Z. Physik, t. 110, 1938, p. 360. | JFM

W. Pauli and M. Fierz, Nuovo Cimento, t. 15, 1938, p. 167. | JFM

[4] T.W. Kibble, Phys. Rev., t. 173, 1968, p. 1527; t. 174, 1968, p. 1882; t. 175, 1968, p. 1624.

[5] V. Chung, Phys. Rev., t. 140 B, 1965, p. 1,110.

[6] J.D. Dollard, J. Math. Phys., t. 5, 1964, p. 729. | MR

[7] L.D. Fadeev and P.P. Kulish, TIMF, t. 4, 1970, p. 153.

[8] D. Zwanzinger, Phys. Rev. D., t. 7, 1973, p. 1082 ; t. 11, 1975, p. 3481 ; t. 11, 1975, p. 3504 ; t. 19, 1979, p. 3614 ; Phys. Lett. B, t. 94, 1980, p. 389 and Nuovo Cimento, t. 11, 1974, p. 145.

[9] N. Papanicolau, Phys. Rep. C, t. 24, 1976, p. 231.

[10] K. Krauss, L. Polley and G. Reents, Ann. Inst. Henri Poincaré A, t. XXVI, 1977, p. 109. | Numdam | MR

[11] K. Harada and R. Kubo, Nucl. Phys., t. B 191, 1981, p. 181.

[12] C.P. Korthals Altes and E. De Rafael, Nucl. Phys. B, t. 106, 1976, p. 237.

[13] H.D. Dahmen, B. Scholz and F. Steiner, Nucl. Phys. B, t. 202, 1982, p. 365.

[14] I. Bialynicki-Birula, Ann. Phys., t. 67, 1971, p. 252.

[15] E.P. Gross, Ann. Phys., t. 19, 1962, p. 219. | Zbl

[16] E. Nelson, J. Math. Phys., t. 5, 1964, p. 1190.

[17] J. Frohlich, Ann. Inst. Henri Poincaré A, t. XIX, 1973, p. 1.

[18] R.F. Alvarez-Estrada, Ann. Inst. Henri Poincaré A, t. XXXI, 1979, p. 141. | Numdam | MR

[19] R.F. Alvarez-Estrada and E. Ros Martinez, Anales de Fisica A, t. 78, 1981, p. 79.

E. Ros Martinez, Estudios de algunos problemas de interacción campo-partícula, Memoria de Licenciatura, Facultad de Ciencias Fisicas, Universidad Complutense, Madrid, 1980.

[20] F. Ruiz Ruiz, Cancelación de las divergencias infrarojas y límite Clásico de la Electrodinámica Cuántica no relativista, Memoria de Licenciatura, Facultad de Ciencias Fisicas, Universidad Complutense, Madrid, 1982.

[21] J.J. Sakurai, Advanced Quantum Mechanics, chap. 1, Addison-Wesley Pub. Co., Reading Massachusetts, 1967. | Zbl

[22] W. Heitler, The Quantum Theory of Radiation, chap. I, § 6, Oxford at the Clarendon Press, third edition, London, 1966.

[23] J.M. Ziman, Elements of Advanced Quantum Theory, chap. 3, Cambridge University Press, Cambridge, 1969. | MR | Zbl

[24] T. Kato, Perturbation Theory for Linear Operators, theorem 4.3, Springer-Verlag, New York, 1968. | Zbl

[25] G.C. Wick, Rev. Mod. Phys., t. 27, 1955, p. 339. | MR | Zbl

[26] A. Galindo and P. Pascual, Mecánica Cuántica, chap. 8, § 11, Editorial Alhambra, Madrid, 1978.