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
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