This article is cited in 5 papers

The method of amplitude functions in two-dimensional scattering theory

V. V. Pupyshev

Joint Institute for Nuclear Research, Dubna, Moskovskaya obl., Russia

Abstract: 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.

Received: 05.02.2016
Revised: 25.02.2016

DOI: 10.4213/tmf9162

 English version: Theoretical and Mathematical Physics, 2017, 191:1, 499–523

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