Converse spectral problem in the relativistic quasiclassical approximation

The problem of quasipotential reconstruction from a given two-particle composite system energy spectrum is solved in the relativistic quasiclassical approximation. The nonrelativistic and ultrarelativistic asymptotes of the expressions obtained are studied.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 63–68, April, 1984.The authors thank Yu. S. Vernov, V. G. Kadyshevskii, and N. B. Skachkov for their interest in the study and valuable discussion of the results obtained.