This article is cited in 2 papers

Coulomb scattering of a slow quantum particle in a space of arbitrary dimension

V. V. Pupyshev

Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

Abstract: 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.

Received: 25.11.2016
Revised: 31.05.2017

DOI: 10.4213/tmf9308

 English version: Theoretical and Mathematical Physics, 2018, 195:1, 548–556

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