V. R. Khalilov, “Fermion pair creation by a strong Coulomb field in $2+1$ dimensions”, TMF, 116:2 (1998), 277–287; Theoret. and Math. Phys., 116:2 (1998), 956

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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 116, Number 2, Pages 277–287
DOI: https://doi.org/10.4213/tmf903 (Mi tmf903)

This article is cited in 11 scientific papers (total in 11 papers)

Fermion pair creation by a strong Coulomb field in

$2+1$ dimensions

V. R. Khalilov

M. V. Lomonosov Moscow State University, Faculty of Physics

Full-text PDF (229 kB) Citations (11)

References:

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DOI: https://doi.org/10.4213/tmf903

Abstract: The creation of charged fermion pairs by a strong external Coulomb field in a space with two dimensions is investigated. Exact solutions to the Dirac equation are found for the Coulomb external field in

$2+1$ dimensions. The equation for determining the critical charge is obtained and is numerically solved for a simplified model. The critical charge for

$2+1$ dimensions is much less than the critical charge for the similar model with

$3+1$ dimensions. The influence of the vacuum polarization on the critical charge is studied in the one-loop approximation to the

$(2+1)$ -dimensional quantum electrodynamics.

Received: 29.12.1997

English version:
Theoretical and Mathematical Physics, 1998, Volume 116, Issue 2, Pages 956–963
DOI: https://doi.org/10.1007/BF02557137

Bibliographic databases:

Language: Russian

Citation: V. R. Khalilov, “Fermion pair creation by a strong Coulomb field in

$2+1$ dimensions”, TMF, 116:2 (1998), 277–287; Theoret. and Math. Phys., 116:2 (1998), 956–963

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf903

https://doi.org/10.4213/tmf903

https://www.mathnet.ru/eng/tmf/v116/i2/p277

This publication is cited in the following 11 articles:

Luis B. Castro, Antonio S. de Castro, “Effects of the Lorentz symmetry violation on relativistic neutral scalar bosons: Scattering and bound states”, EPL, 149:5 (2025), 50003
Andrés G. Jirón, Angel E. Obispo, J. D. Espinoza Loayza, Juan Carlos Quispe, L. B. Castro, “Effect of a critical magnetic field on the control of scalar neutral boson pair production in the context of Lorentz-symmetry violation”, EPL, 145:4 (2024), 40002
V. R. Khalilov, “Zero-mass fermions in Coulomb and Aharonov–Bohm potentials in 2+1 dimensions”, Theoret. and Math. Phys., 175:2 (2013), 637–654
Khalilov V.R., Lee K.E., “Bound Fermion States in a Vector 1/R and Aharonov-Bohm Potential in (2+1) Dimensions”, Modern Phys Lett A, 26:12 (2011), 865–883
V. R. Khalilov, K. E. Lee, “Discrete spectra of the Dirac Hamiltonian in Coulomb and Aharonov–Bohm potentials in $2+1$ dimensions”, Theoret. and Math. Phys., 169:3 (2011), 1683–1703
V. R. Khalilov, “Spontaneous fermion creation in the Coulomb field and Aharonov–Bohm potential in $2+1$ dimensions”, Theoret. and Math. Phys., 158:2 (2009), 210–220
Khalilov, VR, “Fermion Pair Production in Planar Coulomb and Aharonov-Bohm Potentials”, Chinese Journal of Physics, 47:3 (2009), 294
Bondarchuk, VV, “The quantum mechanical two-Coulomb-centre problem in the Dirac equation framework in 2+1 dimensions”, European Physical Journal D, 42:3 (2007), 381
Bernd Thaller, Scattering, 2002, 702
V. R. Khalilov, “Fermions in strong external fields in $2+1$ and $1+1$ dimensions”, Theoret. and Math. Phys., 122:3 (2000), 312–322
V. R. Khalilov, “QED ${}_{2+1}$ radiation effects in a strong magnetic field”, Theoret. and Math. Phys., 121:3 (1999), 1606–1616

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	88
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