Geodesic
Two-dimensional motion of a slow quantum particle in the field of a central long-range potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 3, pp. 405-428 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the two-dimensional motion of a slow quantum particle in the field of a central long-range potential decaying in the limit of long distances $r$ as the power $r^{-\beta}$ with the exponent $\beta\in(1,2)$. We find the low-temperature asymptotic behavior for all partial phases and the differential cross section of the particle scattering and derive a rather simple approximation for the weakly bound state energy.
Keywords: two-dimensional scattering, central long-range potential, low-energy asymptotics, weakly bound state energy. 
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     title = {Two-dimensional motion of a~slow quantum particle in the~field of a~central long-range potential},
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V. V. Pupyshev. Two-dimensional motion of a slow quantum particle in the field of a central long-range potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 3, pp. 405-428. http://geodesic.mathdoc.fr/item/TMF_2019_199_3_a4/

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