Geodesic
The~method of amplitude functions in two-dimensional scattering
Teoretičeskaâ i matematičeskaâ fizika, Tome 191 (2017) no. 1, pp. 34-62

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We present a formulation and mathematical justification of the method of amplitude functions. This method allows solving the radial problem of the two-dimensional scattering of a quantum particle by the sum of a Coulomb potential and a certain short-range or long-range central potential.
Keywords: two-dimensional scattering, superposition of Coulomb and short- or long-range potentials, phase-function method. 
@article{TMF_2017_191_1_a3,
     author = {V. V. Pupyshev},
     title = {The~method of amplitude functions in two-dimensional scattering},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {34--62},
     publisher = {mathdoc},
     volume = {191},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_191_1_a3/}
}
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V. V. Pupyshev. The~method of amplitude functions in two-dimensional scattering. Teoretičeskaâ i matematičeskaâ fizika, Tome 191 (2017) no. 1, pp. 34-62. http://geodesic.mathdoc.fr/item/TMF_2017_191_1_a3/