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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2022, Issue 4(53), Pages 43–45
DOI: https://doi.org/10.54341/20778708_2022_4_53_43 (Mi pfmt874) 		 
PHYSICS

Exact solutions of the two-dimensional Logunov–Tavkhelidze equation with some analogues of the harmonic oscillator potential in the momentum representation

A. V. Paulenko, Yu. A. Grishechkin

Francisk Skorina Gomel State University
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DOI: https://doi.org/10.54341/20778708_2022_4_53_43
Abstract: The exact solutions of the two-dimensional Logunov–Tavkhelidze equation which describes the bound states of systems of two scalar particles of the equivalent mass for some variants of the relativistic generalization of the harmonic oscillator potential are obtained in the momentum representation.
Keywords: two-dimensional Logunov–Tavkhelidze equation, partial wave function, bound states, harmonic oscillator, twodimensional momentum representation.
Received: 02.11.2022
Bibliographic databases:
Document Type: Article
UDC: 539.12.01
Language: Russian
Citation: A. V. Paulenko, Yu. A. Grishechkin, “Exact solutions of the two-dimensional Logunov–Tavkhelidze equation with some analogues of the harmonic oscillator potential in the momentum representation”, PFMT, 2022, no. 4(53), 43–45
Citation in format AMSBIB
\Bibitem{PavGri22}
\by A.~V.~Paulenko, Yu.~A.~Grishechkin
\paper Exact solutions of the two-dimensional Logunov--Tavkhelidze equation with some analogues of the harmonic oscillator potential in the momentum representation
\jour PFMT
\yr 2022
\issue 4(53)
\pages 43--45
\mathnet{http://mi.mathnet.ru/pfmt874}
\crossref{https://doi.org/10.54341/20778708_2022_4_53_43}
\edn{https://elibrary.ru/LRXSGO}
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