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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
References:
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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\by V.~R.~Khalilov
\paper Fermion pair creation by a~strong Coulomb field in $2+1$ dimensions
\jour TMF
\yr 1998
\vol 116
\issue 2
\pages 277--287
\mathnet{http://mi.mathnet.ru/tmf903}
\crossref{https://doi.org/10.4213/tmf903}
\zmath{https://zbmath.org/?q=an:0915.58111}
\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 116
\issue 2
\pages 956--963
\crossref{https://doi.org/10.1007/BF02557137}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000077128700009}
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:
    1. 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  crossref
    2. 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  crossref
    3. 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  mathnet  crossref  crossref  zmath  adsnasa  isi  elib  elib
    4. 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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus  scopus
    5. V. R. Khalilov, K. E. Lee, “Discrete spectra of the Dirac Hamiltonian in Coulomb and Aharonov–Bohm potentials in 2+12+1 dimensions”, Theoret. and Math. Phys., 169:3 (2011), 1683–1703  mathnet  crossref  crossref  isi
    6. V. R. Khalilov, “Spontaneous fermion creation in the Coulomb field and Aharonov–Bohm potential in 2+12+1 dimensions”, Theoret. and Math. Phys., 158:2 (2009), 210–220  mathnet  crossref  crossref  zmath  adsnasa  isi
    7. Khalilov, VR, “Fermion Pair Production in Planar Coulomb and Aharonov-Bohm Potentials”, Chinese Journal of Physics, 47:3 (2009), 294  adsnasa  isi
    8. 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  crossref  adsnasa  isi  scopus  scopus  scopus
    9. Bernd Thaller, Scattering, 2002, 702  crossref
    10. V. R. Khalilov, “Fermions in strong external fields in 2+12+1 and 1+11+1 dimensions”, Theoret. and Math. Phys., 122:3 (2000), 312–322  mathnet  crossref  crossref  zmath  isi
    11. V. R. Khalilov, “QED2+12+1 radiation effects in a strong magnetic field”, Theoret. and Math. Phys., 121:3 (1999), 1606–1616  mathnet  crossref  crossref  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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