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 TMF, 1974, Volume 20, Number 1, Pages 48–56 (Mi tmf3701)

$S$-matrix in quantum electrodynamics with external field

A. I. Nikishov

Abstract: The radiation field being ignored, the evolution operator $S(t)$ for a state of the system is expressed in terms of solutions of the Dirac equation. Since, generally speaking, the operators of creation and annihilation of particles and antiparticles defined in the limit $t\to - \infty$ do not coincide with the corresponding operators in the limit $t\to \infty$ but are related to them by a Bogolyubov transformation, the vacuums of the initial and the final state are different as well. Study of the canonical operator corresponding to the Bogolyubov transformation enables one to refine the proof of the equivalence of the Feynman theory of positrons and the secondquantized theory.

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English version:
Theoretical and Mathematical Physics, 1974, 20:1, 653–659

Bibliographic databases:

Citation: A. I. Nikishov, “$S$-matrix in quantum electrodynamics with external field”, TMF, 20:1 (1974), 48–56; Theoret. and Math. Phys., 20:1 (1974), 653–659

Citation in format AMSBIB
\Bibitem{Nik74} \by A.~I.~Nikishov \paper $S$-matrix in quantum electrodynamics with external field \jour TMF \yr 1974 \vol 20 \issue 1 \pages 48--56 \mathnet{http://mi.mathnet.ru/tmf3701} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=468893} \transl \jour Theoret. and Math. Phys. \yr 1974 \vol 20 \issue 1 \pages 653--659 \crossref{https://doi.org/10.1007/BF01038755} 

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This publication is cited in the following articles:
1. N. B. Narozhnyi, A. I. Nikishov, “Solutions of the Klein-Gordon and Dirac equations for a particle in a constant electric field and a plane electromagnetic wave propagating along the field”, Theoret. and Math. Phys., 26:1 (1976), 9–20
2. A. A. Grib, V. M. Mostepanenko, V. M. Frolov, “Creation and scattering of particles by a nonstationary electromagnetic field in the canonical formalism”, Theoret. and Math. Phys., 26:2 (1976), 148–155
3. V. M. Mostepanenko, “Particle creation and vacuum polarization by a nonstationary electric field”, Theoret. and Math. Phys., 45:2 (1980), 983–991
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