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Schrödinger equation in quantum field theory with nonlocal interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 2, pp. 221-229 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that a finite and unitary $S$-matrix describing the nonloeal interactions of quantized fields is a solution to the Cauchy problem of an evolution equation (Schrödinger equation in the interaction representation with imaginary time, i.e., in Euclidean metric) with retardation. There is no need to introduce any additional degrees of freedom compared with the ordinary Fock space of physical particles. 
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     author = {G. V. Efimov and Kh. Namsrai},
     title = {Schr\"odinger equation in quantum field theory with nonlocal interaction},
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G. V. Efimov; Kh. Namsrai. Schrödinger equation in quantum field theory with nonlocal interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 2, pp. 221-229. http://geodesic.mathdoc.fr/item/TMF_1982_50_2_a3/

[1] Efimov G. V., Nelokalnye vzaimodeistviya kvantovannykh polei, Nauka, M., 1977 | MR

[2] Fainberg V. Ya., Soloviev M. A., Ann. Phys. (N. Y.), 113:2 (1978), 421 ; Соловьев М. А., ТМФ, 43:2 (1980), 202 | DOI | MR | Zbl

[3] Fainberg V. Ya., Soloviev M. A., Commun. Math. Phys., 57:2 (1977), 149 | DOI | MR | Zbl

[4] M. A. Markov, Giperony i $K$-mezony, Fizmatgiz, M., 1958

[5] Bogolyubov N. N., Shirkov D. V., Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1973 ; С. Швебер, Введение в релятивистскую квантовую теорию поля, ИЛ, М., 1963 | MR | Zbl

[6] Saimon B., Model $P(\varphi)_2$ evklidovoi kvantovoi teorii polya, Mir, M., 1976

[7] Petrina D. Ya., Ivanov S. S., Rebenko A. L., Uravneniya dlya koeffitsientnykh funktsii matritsy rasseyaniya, Nauka, M., 1979 | MR

[8] Efimov G. V., Commun. Math. Phys., 65:1 (1979), 15 | DOI | MR | Zbl