Geodesic
Creation and scattering of particles by a nonstationary electromagnetic field in the canonical formalism
Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 2, pp. 221-233 Cet article a éte moissonné depuis la source Math-Net.Ru

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A study is made of the creation and scattering of particles by a nonstationary electromagnetic field of arbitrary form. Bogolyubov's method of canonical transformations is used to obtain exact expressions for the number density of the fermion and boson pairs created by the external field and also for the amplitudes of transition from an arbitrary initial to an arbitrary final state. The explicit connection between the $\text{in}$- and $\text{out}$-vacuum states is found. In the framework of the proposed formalism, a proof is given in the general case of Feynman's assertion that, with allowance for particle creation by a field and the connection between spin and statistics, the total probability of scattering is equal to unity. 
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     title = {Creation and scattering of particles by a~nonstationary electromagnetic field in the canonical formalism},
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A. A. Grib; V. M. Mostepanenko; V. M. Frolov. Creation and scattering of particles by a nonstationary electromagnetic field in the canonical formalism. Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 2, pp. 221-233. http://geodesic.mathdoc.fr/item/TMF_1976_26_2_a7/

[1] J. Schwinger, Phys. Rev., 82 (1951), 664 | DOI | MR | Zbl

[2] E. Brezin, C. Itzykson, Phys. Rev., 2D (1970), 1191

[3] N. B. Narozhnyi, A. I. Nikishov, YaF, 11 (1970), 1072

[4] A. I. Nikishov, Problemy teoreticheskoi fiziki, «Nauka», 1972 | MR

[5] N. B. Narozhnyi, A. I. Nikishov, ZhETF, 65 (1973), 862

[6] V. S. Popov, ZhETF, 62 (1972), 1248

[7] V. S. Popov, M. S. Marinov, YaF, 16 (1972), 809

[8] V. S. Popov, ZhETF, 61 (1971), 1334

[9] A. M. Perelomov, TMF, 16 (1973), 303 ; 19 (1974), 83 | MR

[10] A. A. Grib, V. M. Mostepanenko, V. M. Frolov, TMF, 13 (1972), 377

[11] V. M. Mostepanenko, V. M. Frolov, YaF, 19 (1974), 885 | MR

[12] R. Feinman, Kvantovaya elektrodinamika, «Mir», 1964

[13] A. I. Nikishov, Nucl. Phys., 21B (1970), 346 | DOI

[14] A. I. Nikishov, TMF, 20 (1974), 48 | MR

[15] Yu. Shvinger, Teoriya kvantovannykh polei, IL, 1956

[16] F. V. Bunkin, I. I. Tugov, DAN SSSR, 187 (1969), 541

[17] Ya. B. Zeldovich, V. S. Popov, UFN, 105 (1971), 403 | DOI | MR

[18] P. A. M. Dirak, Lektsii po kvantovoi teorii polya, «Mir», 1971

[19] N. N. Bogolyubov, DAN SSSR, 119 (1958), 224

[20] N. N. Bogolyubov, A. A. Logunov, I. T. Todorov, Osnovy aksiomaticheskogo podkhoda v kvantovoi teorii polya, «Nauka», 1969 | MR

[21] F. A. Berezin, Metod vtorichnogo kvantovaniya, «Nauka», 1965 | MR

[22] R. P. Feynman, Phys. Rev., 76 (1949), 749 | DOI | MR | Zbl