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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2022, Issue 2(51), Pages 22–25
DOI: https://doi.org/10.54341/20778708_2022_2_51_22 (Mi pfmt838) 		 
PHYSICS

Approximate analytical solution of the Logunov–Tavkhelidze equation with a linear potential in the relativistic configurational representation

Yu. A. Grishechkin, V. N. Kapshai

Francisk Skorina Gomel State University
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DOI: https://doi.org/10.54341/20778708_2022_2_51_22
Abstract: The approximate analytical solutions of the Logunov–Tavkhelidze equation in integral form with a linear potential in the relativistic configurational representation are found. The obtained wave functions are expressed in terms of the Macdonald function while the energy quantization condition is a transcendental equation.
Keywords: Logunov–Tavkhelidze equation, relativistic configurational representation, linear potential, Laplace transformation, approximate analytical solution, Macdonald function, energy quantization condition.
Received: 04.05.2022
Bibliographic databases:
Document Type: Article
UDC: 539.12.01
Language: Russian
Citation: Yu. A. Grishechkin, V. N. Kapshai, “Approximate analytical solution of the Logunov–Tavkhelidze equation with a linear potential in the relativistic configurational representation”, PFMT, 2022, no. 2(51), 22–25
Citation in format AMSBIB
\Bibitem{GriKap22}
\by Yu.~A.~Grishechkin, V.~N.~Kapshai
\paper Approximate analytical solution of the Logunov--Tavkhelidze equation with a linear potential in the relativistic configurational representation
\jour PFMT
\yr 2022
\issue 2(51)
\pages 22--25
\mathnet{http://mi.mathnet.ru/pfmt838}
\crossref{https://doi.org/10.54341/20778708_2022_2_51_22}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=733104}
\edn{https://elibrary.ru/IMQFYS}
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