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Renormalized scattering theory for Yukawa model II. Wave operators
Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 2, pp. 207-220 Cet article a éte moissonné depuis la source Math-Net.Ru

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For the Yukawa model, the dressing operator $T_0(g,\sigma)$ is used to construct a space $\mathscr H_{\operatorname {ren}}$ which differs from the Fok space, in which the renormalized Hamiltonian $\Bar{H}_{\operatorname {ren}}(1,\sigma)$ with removed space cutoff but fixed parameter of the ultraviolet cutoff is a self-adjoint operator. The existence of renormalized operators is proved for the pair of operators $H_0$ and $\Bar{H}_{\operatorname {ren}}(1,\sigma)$. 
@article{TMF_1973_15_2_a3,
     author = {I. Ya. Aref'eva},
     title = {Renormalized scattering theory for {Yukawa} {model~II.} {Wave} operators},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {207--220},
     year = {1973},
     volume = {15},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_15_2_a3/}
}
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I. Ya. Aref'eva. Renormalized scattering theory for Yukawa model II. Wave operators. Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 2, pp. 207-220. http://geodesic.mathdoc.fr/item/TMF_1973_15_2_a3/

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