Abstract:
A study is made of the problem of pair production of particies with spin 1/2 in an external
homogeneous electric field E(t). The Heisenberg equations of motion are found for the operators
of creation and annihilation, a solution for which has the form of a linear canonical
transformation. A system of differential equations that determine the coefficients U(t) and
V(t) of this transformation are obtained. The probabilities of pair creation are expressed in
terms of the eigenvalues of the matrix VV+. The ease of particles with anomalous magnetic
moment is also considered.
Citation:
M. S. Marinov, V. S. Popov, “On the production of e+e−-pairs from the vacuum under the influence of an electric field”, TMF, 17:1 (1973), 34–46; Theoret. and Math. Phys., 17:1 (1973), 967–976
\Bibitem{MarPop73}
\by M.~S.~Marinov, V.~S.~Popov
\paper On the production of $e^+e^-$-pairs from the vacuum under the influence of an electric field
\jour TMF
\yr 1973
\vol 17
\issue 1
\pages 34--46
\mathnet{http://mi.mathnet.ru/tmf3923}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=464988}
\transl
\jour Theoret. and Math. Phys.
\yr 1973
\vol 17
\issue 1
\pages 967--976
\crossref{https://doi.org/10.1007/BF01035579}
Linking options:
https://www.mathnet.ru/eng/tmf3923
https://www.mathnet.ru/eng/tmf/v17/i1/p34
This publication is cited in the following 8 articles:
J. E. Seger, A. B. Balantekin, “Fermion pair production from an electric field varying in two dimensions”, Journal of Mathematical Physics, 37:1 (1996), 219
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
E. S. Fradkin, D. M. Gitman, Sh. M. Shvartsman, Springer Series in Nuclear and Particle Physics, Quantum Electrodynamics, 1991, 107
A. B. Balantekin, S. H. Fricke, “Interference effects in the Schwinger pair-production mechanism”, Phys. Rev. D, 43:1 (1991), 250
M. S. Marinov, V. S. Popov, “Electron‐Positron Pair Creation from Vacuum Induced by Variable Electric Field”, Fortschr. Phys., 25:1-12 (1977), 373
A.M. Perelomov, “Some remarks on spinor particle pair creation in alternating homogeneous external field”, Physics Letters A, 54:3 (1975), 191
Citation in format AMSBIB
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