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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2021, Issue 1(46), Pages 13–18
(Mi pfmt759)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/pfmt759 https://www.mathnet.ru/eng/pfmt/y2021/i1/p13
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Statistics & downloads: |
Abstract page: | 94 | Full-text PDF : | 40 | References: | 26 |
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