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Teoreticheskaya i Matematicheskaya Fizika, 1973, Volume 17, Number 1, Pages 34–46
(Mi tmf3923)
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This article is cited in 8 scientific papers (total in 8 papers)
On the production of $e^+e^-$-pairs from the vacuum under the influence of an electric field
M. S. Marinov, V. S. Popov
Abstract:
A study is made of the problem of pair production of particies with spin $1/2$ in an external
homogeneous electric field $\mathbf E(t)$. 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.
Received: 21.08.1972
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
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https://www.mathnet.ru/eng/tmf3923 https://www.mathnet.ru/eng/tmf/v17/i1/p34
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Abstract page: | 370 | Full-text PDF : | 155 | References: | 33 | First page: | 1 |
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