Geodesic
Approximate analytical solution of the Logunov--Tavkhelidze equation with a linear potential in the relativistic configurational representation
Problemy fiziki, matematiki i tehniki, no. 2 (2022), pp. 22-25

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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.
Mots-clés : Logunov–Tavkhelidze equation, Laplace transformation
Keywords: relativistic configurational representation, linear potential, approximate analytical solution, Macdonald function, energy quantization condition. 
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     author = {Yu. A. Grishechkin and V. N. Kapshai},
     title = {Approximate analytical solution of the {Logunov--Tavkhelidze} equation with a linear potential in the relativistic configurational representation},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {22--25},
     publisher = {mathdoc},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2022_2_a3/}
}
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Yu. A. Grishechkin; V. N. Kapshai. Approximate analytical solution of the Logunov--Tavkhelidze equation with a linear potential in the relativistic configurational representation. Problemy fiziki, matematiki i tehniki, no. 2 (2022), pp. 22-25. http://geodesic.mathdoc.fr/item/PFMT_2022_2_a3/