Geodesic
Coulomb scattering of a~slow quantum particle in a~space of
Teoretičeskaâ i matematičeskaâ fizika, Tome 195 (2018) no. 1, pp. 64-74

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We assume that a charged quantum particle moves in a space of dimension $d=2,3,\dots$ and is scattered by a fixed Coulomb center. We derive and study expansions of the wave function and all radial functions of such a particle in integer powers of the wave number and in Bessel functions of a real order. We prove that finite sums of such expansions are asymptotic approximations of the wave functions in the low-energy limit.
Keywords: Coulomb scattering, wave function, low-energy asymptotic approximation. 
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     author = {V. V. Pupyshev},
     title = {Coulomb scattering of a~slow quantum particle in a~space of},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {64--74},
     publisher = {mathdoc},
     volume = {195},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_195_1_a5/}
}
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V. V. Pupyshev. Coulomb scattering of a~slow quantum particle in a~space of. Teoretičeskaâ i matematičeskaâ fizika, Tome 195 (2018) no. 1, pp. 64-74. http://geodesic.mathdoc.fr/item/TMF_2018_195_1_a5/