On recent analytical results for solution of the scattering problem for the sharply screened Coulomb potential

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Abstract

Exact representations for the wave function and for the Green function of the Hamiltonian with the sharply screened Coulomb potential are given. The representations are obtained by summing up the partial wave series. The final form of the wave function and the Green function in the region of the coordinate space where the potential is not zero are given in terms of the Coulomb wave function and the Coulomb Green function,respectively. The exact representation has been obtained for the transition operator in the configuration space.
Original languageEnglish
Pages (from-to)805-808
JournalFew-Body Systems
Volume55
Issue number8-10
DOIs
Publication statusPublished - 2014

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Coulomb potential
Green's functions
wave functions
scattering
operators
configurations

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@article{ff77d3590c344d6c899fc4c51bef8999,
title = "On recent analytical results for solution of the scattering problem for the sharply screened Coulomb potential",
abstract = "Exact representations for the wave function and for the Green function of the Hamiltonian with the sharply screened Coulomb potential are given. The representations are obtained by summing up the partial wave series. The final form of the wave function and the Green function in the region of the coordinate space where the potential is not zero are given in terms of the Coulomb wave function and the Coulomb Green function,respectively. The exact representation has been obtained for the transition operator in the configuration space.",
author = "S.L. Yakovlev and V.A. Gradusov and M.V. Volkov",
year = "2014",
doi = "10.1007/s00601-013-0758-2",
language = "English",
volume = "55",
pages = "805--808",
journal = "Few-Body Systems",
issn = "0177-7963",
publisher = "Springer",
number = "8-10",

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TY - JOUR

T1 - On recent analytical results for solution of the scattering problem for the sharply screened Coulomb potential

AU - Yakovlev, S.L.

AU - Gradusov, V.A.

AU - Volkov, M.V.

PY - 2014

Y1 - 2014

N2 - Exact representations for the wave function and for the Green function of the Hamiltonian with the sharply screened Coulomb potential are given. The representations are obtained by summing up the partial wave series. The final form of the wave function and the Green function in the region of the coordinate space where the potential is not zero are given in terms of the Coulomb wave function and the Coulomb Green function,respectively. The exact representation has been obtained for the transition operator in the configuration space.

AB - Exact representations for the wave function and for the Green function of the Hamiltonian with the sharply screened Coulomb potential are given. The representations are obtained by summing up the partial wave series. The final form of the wave function and the Green function in the region of the coordinate space where the potential is not zero are given in terms of the Coulomb wave function and the Coulomb Green function,respectively. The exact representation has been obtained for the transition operator in the configuration space.

U2 - 10.1007/s00601-013-0758-2

DO - 10.1007/s00601-013-0758-2

M3 - Article

VL - 55

SP - 805

EP - 808

JO - Few-Body Systems

JF - Few-Body Systems

SN - 0177-7963

IS - 8-10

ER -