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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2021, Issue 1(46), Pages 13–18 (Mi pfmt759)  

PHYSICS

Solutions of the wave equation in parabolic rotary coordinates. III. Spatiotemporal wave packets of Kummer–Kummer and Tricomi–Kummer with the continuous angular index

S. S. Girgel

F. Scorina Gomel State University
References:
Abstract: Analytical expressions in the closed form for spatiotemporal wave packets of Kummer–Kummer and Tricomi–Kummer with continuous angular index $m$ in parabolic rotary coordinates are offered and analyzed. Physical restrictions on possible values of free parameters of such modes that they transfer finite power are formulated.
Keywords: spatiotemporal wave packets, parabolic rotary coordinates, modes Kummer–Kummer, modes Tricomi–Kummer.
Received: 14.10.2020
Document Type: Article
UDC: 535.42
Language: Russian
Citation: S. S. Girgel, “Solutions of the wave equation in parabolic rotary coordinates. III. Spatiotemporal wave packets of Kummer–Kummer and Tricomi–Kummer with the continuous angular index”, PFMT, 2021, no. 1(46), 13–18
Citation in format AMSBIB
\Bibitem{Gir21}
\by S.~S.~Girgel
\paper Solutions of the wave equation in parabolic rotary coordinates. III. Spatiotemporal wave packets of Kummer--Kummer and Tricomi--Kummer with the continuous angular index
\jour PFMT
\yr 2021
\issue 1(46)
\pages 13--18
\mathnet{http://mi.mathnet.ru/pfmt759}
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    Проблемы физики, математики и техники
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