Geodesic
Asymptotic fields and the $S$ matrix in the lowest sector of the Lee model
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 2, pp. 157-168 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that in the lowest sector of the Lee model there exist asymptotic fields that allow a particle interpretation. The $S$ matrix calculated by means of these fields is equal to the $S$ matrix obtained by solving the Lipmann–Sehwinger equation [2]. 
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L. A. Dadashev. Asymptotic fields and the $S$ matrix in the lowest sector of the Lee model. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 2, pp. 157-168. http://geodesic.mathdoc.fr/item/TMF_1973_16_2_a1/

[1] T. D. Lee, Phys. Rev., 95 (1954), 1329 | DOI | MR | Zbl

[2] S. Shveber, Vvedenie v relyativistskuyu kvantovuyu teoriyu, IL, 1963

[3] T. Kato, Perturbation theory for linear operators, Springer-Verlag, 1966 | MR

[4] M. S. Maxon, R. B. Curtis, Phys. Rev., 137 (1965), B996 | DOI | MR

[5] L. A. Dadashev, TMF, 8 (1971), 308 | MR

[6] L. A. Dadashev, TMF, 9 (1971), 305

[7] F. A. Berezin, Metod vtorichnogo kvantovaniya, Fizmatgiz, 1965 | MR | Zbl

[8] F. D. Gakhov, Kraevye zadachi, Fizmatgiz, 1963 | MR

[9] K. Fridrikhs, Vozmuschenie spektra operatorov v gilbertovom prostranstve, «Mir», 1969

[10] I. Ya. Arefeva, TMF, 12 (1972), 331 | MR