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  • 1.
    Kurasov, Pavel
    Stockholm University.
    On the Coulomb potential in dimension one1996In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447Article in journal (Refereed)
  • 2.
    Kurasov, Pavel
    et al.
    Stockholm University.
    Demkov, Yuri
    Ostrovsky, Valentin
    Doubly periodical in time and energy exactly soluble system with two interacting systems of states1995In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447Article in journal (Refereed)
  • 3.
    Kurasov, Pavel
    et al.
    Stockholm University.
    Packalen, Karel
    Inverse scattering transformation for positons1999In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447Article in journal (Refereed)
  • 4. Yakovlev, S. L.
    et al.
    Volkov, Mikhail V.
    Stockholm University, Faculty of Science, Department of Physics.
    Yarevsky, E.
    Elander, Nils
    Stockholm University, Faculty of Science, Department of Physics.
    The impact of sharp screening on the Coulomb scattering problem in three dimensions2010In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 43, no 24, p. 245302-Article in journal (Refereed)
    Abstract [en]

    The scattering problem for two particles interacting via theCoulomb potential isexamined for the case where the potential has a sharp cut-off at some distance.The problem is solved for two complementary situations, firstly, when theinterior part of the Coulomb potential is left in the Hamiltonian and, secondly,when the long-range tail is considered as the potential. The partial wave resultsare summed up to obtain the wavefunction in three dimensions. It is shownthat in the domains where the wavefunction is expected to be proportionalto the known solutions, the proportionality is given by an operator actingon the angular part of the wavefunction. The explicit representation for thisoperator is obtained in the basis of Legendre polynomials. We proposed adriven Schr¨odinger equation including an inhomogeneous term of the finiterange with purely outgoing asymptotics for its solution in the case of thethree-dimensional scattering problem with long-range potentials.

    Download full text (pdf)
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