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Discussion mathématique du modèle de Pauli et Fierz relatif à la catastrophe infrarouge

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Abstract

In this model we study the interaction of an quantized non relativistic electron with the photon field. We discuss the system for all finite time and we are in the position to construct explicitly the asymptotic states.

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References

  1. Bloch, F., and A. Nordsieck: Phys. Rev.52, 54 (1937).

    Google Scholar 

  2. Pauli, W., and M. Fierz: Nuovo Cimento15, 167 (1938).

    Google Scholar 

  3. Friedrichs, K. O.: Mathematical aspects of the quantum theory of fields. New York: Interscience Publ. Inc. 1953.

    Google Scholar 

  4. Jauch, J., and F. Rohrlich: Theory of photons and electrons. Reading, Mass.: Addison-Wesley 1959.

    Google Scholar 

  5. Magnus, W.: Commun. Pure Appl. Math.7, 649 (1954).

    Google Scholar 

  6. Blanchard, P.: Travail de diplome ETH (Nov. 1965).

  7. Kibble, T. W. B.: Imperial College, preprint ICTP 67/15 (April 1967).

  8. von Neumann, J.: Composito Math.6, 1 (1938).

    Google Scholar 

  9. Klauder, J. R., and J. Mac Kenna: J. Math. Phys.6, 68 (1965).

    Google Scholar 

  10. —— ——: and E. J. Woods: J. Math. Phys.7, 822 (1966).

    Google Scholar 

  11. Streit, L.: Commun. Math. Phys.4, 22–31 (1967).

    Google Scholar 

  12. Dixmier, J.: Les algébres d'opérateurs dans l'espace hilbertien. Paris: Gauthier-Villars 1957.

    Google Scholar 

  13. Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966.

    Google Scholar 

  14. Schroer, B.: Fortschr. Physik11, 1–32 (1963).

    Google Scholar 

  15. Nelson, E.: J. Math. Phys.5, 1190 (1964).

    Google Scholar 

  16. Borchers, H. J., and W. Zimmermann: Nuovo Cimento31, 1047–1059 (1964).

    Google Scholar 

  17. Neumark, M. A.: Normierte Algebren, §41. Berlin: VEB Deutscher Verlag der Wissenschaften.

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Blanchard, P. Discussion mathématique du modèle de Pauli et Fierz relatif à la catastrophe infrarouge. Commun.Math. Phys. 15, 156–172 (1969). https://doi.org/10.1007/BF01645376

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  • DOI: https://doi.org/10.1007/BF01645376

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