Abstract:
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 in- and 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.
Citation:
A. A. Grib, V. M. Mostepanenko, V. M. Frolov, “Creation and scattering of particles by a nonstationary electromagnetic field in the canonical formalism”, TMF, 26:2 (1976), 221–233; Theoret. and Math. Phys., 26:2 (1976), 148–155
\Bibitem{GriMosFro76}
\by A.~A.~Grib, V.~M.~Mostepanenko, V.~M.~Frolov
\paper Creation and scattering of particles by a~nonstationary electromagnetic field in the canonical formalism
\jour TMF
\yr 1976
\vol 26
\issue 2
\pages 221--233
\mathnet{http://mi.mathnet.ru/tmf3190}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=449291}
\transl
\jour Theoret. and Math. Phys.
\yr 1976
\vol 26
\issue 2
\pages 148--155
\crossref{https://doi.org/10.1007/BF01079420}
Linking options:
https://www.mathnet.ru/eng/tmf3190
https://www.mathnet.ru/eng/tmf/v26/i2/p221
This publication is cited in the following 6 articles:
A. G. Lavkin, A. V. Prozorkevich, S. A. Smolyanskii, A. V. Filatov, “Issledovanie izotropizatsii partonnoi plazmy pri stolknoveniyakh tyazhelykh ionov”, Izv. Sarat. un-ta. Nov. cer. Ser. Fizika, 7:2 (2007), 50–55
A. A. Lobashev, V. M. Mostepanenko, “Heisenberg representation of second-quantized fields in stationary external fields and nonlinear dielectric media”, Theoret. and Math. Phys., 97:3 (1993), 1393–1404
A. A. Lobashev, V. M. Mostepanenko, “Quantum effects in nonlinear insulating materials in the presence of a nonstationary electromagnetic field”, Theoret. and Math. Phys., 86:3 (1991), 303–309
A. A. Lobashov, V. M. Mostepanenko, “Quantum effects associated with parametric generation of light and the theory of squeezed states”, Theoret. and Math. Phys., 88:3 (1991), 913–925
Jan Ambjørn, Richard J Hughes, “Canonical quantisation in non-Abelian background fields”, Annals of Physics, 145:2 (1983), 340
V. S. Starostin, “Bethe–Salpeter formalism in the field of a plane electromagnetic wave”, Theoret. and Math. Phys., 42:3 (1980), 217–224
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