Summary
A method related to that of Faddeev and Kulish to eliminate infra-red divergences is illastrated in some exactly solvable nonrelativistic models.
Riassunto
Si espone nell’ambito di alcuni modelli non relativistici esattamente risolvibili un metodo collegato a quello di Faddeev e Kulish per l’eliminazione delle divergenze nell’infrarosso.
Резюме
На примере некоторых точно решаемых нерелятивистских мо делей рассматривает ся метод, аналогичный методу Фаддеева и Кул иша, предложе аналогичный методу Ф аддеева и Кулиша, пред ложенного для устран еия инфракрасных рас ходимостей. для устранеия инфрак расных расходимосте й.
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References
For excellent reviews of the problems connected with the infra-red divergences, see the lectures ofD. R. Yennie:Topics in Quantum Electrodynamics, 1963 Brandeis Summer Institute in Theoretical Physics;T. W. B. Kibble:Cargése Lectures in Theoretical Physics of 1967, edited byM. Lévy (New York, 1969).
N. F. Mott:Prec. Roy. Soc., A114, 243 (1931);Prec. Roy. Camb. Phil. Soc.,27, 255 (1931).
F. Bloch andA. Norsieck:Phys. Rev.,52, 54 (1937); A. Norsieck:Phys. Rev.,52, 59 (1939).
H. A. Bethe andJ. R. Oppenheimer:Phys. Rev.,70, 451 (1946).
L. M. Brown andR. P. Feynman:Phys. Rev.,85, 231 (1952);J. M. Jauch andF. Rohrlich:Helv. Phys. Acta,27, 613 (1954); K. E. Eriksson:Nuovo Cimento,19, 1010 (1961); D. Yennie, S. Frautschi and H. Suura:Ann. of Phys.,13, 379 (1961). This last article contains an extensive list of references to the earlier literature.
K. O. Friedrichs:Mathematical Aspects of the Quantum Theory of Fluids (New York, 1953);A. S. Wightman andS. S. Schweber:Phys. Rev.,98, 812 (1955).
V. Chung:Phys. Rev.,140, B 1110 (1965).
R. J. Glauber:Phys. Rev.,84, 395 (1951);131, 2766 (1963).
K. E. Eriksson:Phys. Scripta,1, 3 (1970).
S. Weinberg:Phys. Rev.,140, B 516 (1965).
P. Kulish andL. D. Faddeev:Theor. Math. Phys.,4, 745 (1970).
For a review of this work emphasizing these physical features seeS. S. Schweber:Lecture on Infrared Divergences in theCargèse Summer School Lectures 1972, edited byM. Levy andSucher (New York, 1973).
J. Dollard:Journ. Math. Phys.,5, 729 (1964); see alsoW. Brenig andR. Haag:Fortsch. Phys.,7, No. 4/5, 183 (1959).
S. S. Schweber:An Introduction to Relativistic Quantum Field Theory (New York, 1961).
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Work supported in part by Grant No. GP-18721 from the National Science Foundation.
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Schweber, S.S. Asymptotic states in nonrelativistic models exhibiting infra-red divergences. Nuov Cim B 18, 83–94 (1973). https://doi.org/10.1007/BF02832641
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DOI: https://doi.org/10.1007/BF02832641