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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 115, Number 2, Pages 280–288
DOI: https://doi.org/10.4213/tmf873 (Mi tmf873) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Green formula in the theory of potential scattering and corrections to the eikonal scattering amplitude

N. V. Bondarenkoa, N. F. Shul'gab

a National Science Centre Kharkov Institute of Physics and Technology
b Khar'kov Polytechnical University
Full-text PDF (191 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf873
Abstract: A method based on the Green formula is developed for calculating the scattering amplitude of fast charged particles in an external field. The scattering amplitude is representable as an integral over an arbitrary closed surface enveloping the domain of influence of the external field on the particle. Corrections to the eikonal scattering amplitude are simply derived without using the specific form of the potential. The resulting formulas can be used to investigate the interaction between particles and fields of complex configuration.
Received: 03.11.1997
English version:
Theoretical and Mathematical Physics, 1998, Volume 115, Issue 2, Pages 588–594
DOI: https://doi.org/10.1007/BF02575459
Bibliographic databases:
Language: Russian
Citation: N. V. Bondarenko, N. F. Shul'ga, “The Green formula in the theory of potential scattering and corrections to the eikonal scattering amplitude”, TMF, 115:2 (1998), 280–288; Theoret. and Math. Phys., 115:2 (1998), 588–594
Citation in format AMSBIB
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\by N.~V.~Bondarenko, N.~F.~Shul'ga
\paper The Green formula in the theory of potential scattering and corrections to the eikonal scattering amplitude
\jour TMF
\yr 1998
\vol 115
\issue 2
\pages 280--288
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\crossref{https://doi.org/10.4213/tmf873}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1693757}
\zmath{https://zbmath.org/?q=an:0991.81122}
\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 115
\issue 2
\pages 588--594
\crossref{https://doi.org/10.1007/BF02575459}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000075837900010}
Linking options:
  • https://www.mathnet.ru/eng/tmf873
  • https://doi.org/10.4213/tmf873
  • https://www.mathnet.ru/eng/tmf/v115/i2/p280
    • This publication is cited in the following 3 articles:
    1. Dzheparov F.S., Lvov D.V., “Limits of Applicability of the Concept of Scattering Amplitude in Small-Angle Scattering Problems”, Phys. Solid State, 56:1 (2014), 142–147  crossref  adsnasa  isi  scopus  scopus  scopus
    2. Bondarenko N.V., Shul'ga N.F., “The method of surface integral in the theory of wave scattering”, International Conference on Mathematical Methods in Electromagnetic Theory, 2000, 685–687  isi
    3. N.V. Bondarenko, N.F. Shul'ga, 2, Conference Proceedings 2000 International Conference on Mathematical Methods in Electromagnetic Theory (Cat. No.00EX413), 2000, 685  crossref
    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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