On the classical limit and the infrared problem for non-relativistic fermions interacting with the electromagnetic field

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1. [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. [2] I. Bialynicki-Birula, Acta Phys. Austriaca XVIII, t. 111, 1977. 
3. [3] F. Bloch and A. Nordsieck, Phys. Rev., t. 52, 1937, p. 54, Zbl0017.23504JFM63.1393.02
4. W. Braunbeck and E. Winmann, Z. Physik, t. 110, 1938, p. 360. JFM64.0898.04
5. W. Pauli and M. Fierz, Nuovo Cimento, t. 15, 1938, p. 167. JFM64.1487.01
6. [4] T.W. Kibble, Phys. Rev., t. 173, 1968, p. 1527; t. 174, 1968, p. 1882; t. 175, 1968, p. 1624. 
7. [5] V. Chung, Phys. Rev., t. 140 B, 1965, p. 1,110. 
8. [6] J.D. Dollard, J. Math. Phys., t. 5, 1964, p. 729. MR163620
9. [7] L.D. Fadeev and P.P. Kulish, TIMF, t. 4, 1970, p. 153. 
10. [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. 
11. [9] N. Papanicolau, Phys. Rep. C, t. 24, 1976, p. 231. 
12. [10] K. Krauss, L. Polley and G. Reents, Ann. Inst. Henri Poincaré A, t. XXVI, 1977, p. 109. MR479178
13. [11] K. Harada and R. Kubo, Nucl. Phys., t. B 191, 1981, p. 181. 
14. [12] C.P. Korthals Altes and E. De Rafael, Nucl. Phys. B, t. 106, 1976, p. 237. 
15. [13] H.D. Dahmen, B. Scholz and F. Steiner, Nucl. Phys. B, t. 202, 1982, p. 365. 
16. [14] I. Bialynicki-Birula, Ann. Phys., t. 67, 1971, p. 252. 
17. [15] E.P. Gross, Ann. Phys., t. 19, 1962, p. 219. Zbl0118.44503
18. [16] E. Nelson, J. Math. Phys., t. 5, 1964, p. 1190. 
19. [17] J. Frohlich, Ann. Inst. Henri Poincaré A, t. XIX, 1973, p. 1. 
20. [18] R.F. Alvarez-Estrada, Ann. Inst. Henri Poincaré A, t. XXXI, 1979, p. 141. MR561919
21. [19] R.F. Alvarez-Estrada and E. Ros Martinez, Anales de Fisica A, t. 78, 1981, p. 79. 
22. E. Ros Martinez, Estudios de algunos problemas de interacción campo-partícula, Memoria de Licenciatura, Facultad de Ciencias Fisicas, Universidad Complutense, Madrid, 1980. 
23. [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. 
24. [21] J.J. Sakurai, Advanced Quantum Mechanics, chap. 1, Addison-Wesley Pub. Co., Reading Massachusetts, 1967. Zbl0158.45604
25. [22] W. Heitler, The Quantum Theory of Radiation, chap. I, § 6, Oxford at the Clarendon Press, third edition, London, 1966. 
26. [23] J.M. Ziman, Elements of Advanced Quantum Theory, chap. 3, Cambridge University Press, Cambridge, 1969. Zbl0177.56701MR251965
27. [24] T. Kato, Perturbation Theory for Linear Operators, theorem 4.3, Springer-Verlag, New York, 1968. Zbl0148.12601
28. [25] G.C. Wick, Rev. Mod. Phys., t. 27, 1955, p. 339. Zbl0067.22202MR72766
29. [26] A. Galindo and P. Pascual, Mecánica Cuántica, chap. 8, § 11, Editorial Alhambra, Madrid, 1978.