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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 483, Pages 189–198 (Mi znsl6853)  
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic behavior of the solutions of nonstationary Dirac equation with the potential slowly depending on time

V. V. Sukhanov

St. Petersburg State University, Faculty of Physics
Full-text PDF (162 kB) Citations (2)
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Abstract: The asymptotic behavior of the solutions of the Cauchy problem for the non-stationary Dirac equation with a time-dependent potential is studied. The construction of asymptotic solutions is based on the spectral decomposition of the solution at a given time. The adiabatic theorem of scattering theory is not used.
Key words and phrases: nonstationary Dirac operator, slow time dependence, adiabatic theorem of scattering theory, spectral theory of the Dirac operator, asymptotic behavior of solutions.
Funding agency Grant number
Russian Science Foundation 17-11-01126
Received: 21.10.2019
Document Type: Article
UDC: 517
Language: Russian
Citation: V. V. Sukhanov, “Asymptotic behavior of the solutions of nonstationary Dirac equation with the potential slowly depending on time”, Mathematical problems in the theory of wave propagation. Part 49, Zap. Nauchn. Sem. POMI, 483, POMI, St. Petersburg, 2019, 189–198
Citation in format AMSBIB
\Bibitem{Suk19}
\by V.~V.~Sukhanov
\paper Asymptotic behavior of the solutions of nonstationary Dirac equation with the potential slowly depending on time
\inbook Mathematical problems in the theory of wave propagation. Part~49
\serial Zap. Nauchn. Sem. POMI
\yr 2019
\vol 483
\pages 189--198
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6853}
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  • https://www.mathnet.ru/eng/znsl/v483/p189
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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