Geodesic
Equation for the total scattering amplitude in the variable phase approach
Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 2, pp. 170-179

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The equation for the scattering amplitude proposed by Babikov and Mir-Kasimov (Phys.Lett. B,31,415 (1970)) is considered. The meaning of the divergent series in the equation is made more precise and it is reduced to a mathematically correct form suitable for numerical calculations. A method is proposed for solving the equation, this being effective for high energy scattering. As an example, the well-known eikonal representation of the scattering amplitude is derived. 
@article{TMF_1978_34_2_a3,
     author = {M. Kh. Khankhasaev},
     title = {Equation for the total scattering amplitude in the variable phase approach},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {170--179},
     publisher = {mathdoc},
     volume = {34},
     number = {2},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_34_2_a3/}
}
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M. Kh. Khankhasaev. Equation for the total scattering amplitude in the variable phase approach. Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 2, pp. 170-179. http://geodesic.mathdoc.fr/item/TMF_1978_34_2_a3/