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Two–body Coulomb problems with sources for the J-matrix method
(Global Science Press, 2011-08)
The two-body Coulomb problem with sources is studied. Close d form solutions are provided for particular non-homogeneities used within the J-matrix method. The results are employed to build analytical solutions having ...
Effective momenta approach for the 4-body Coulomb problem
(American Physical Society, 2013-02)
We propose approximate separable solutions for the Schrödinger equation corresponding to the four-body Coulomb problem. By exploring several asymptotic limits, we find configurations where the nondiagonal terms of the ...
Two-body Coulomb problems with sources
(American Physical Society, 2010-10)
The two-body Coulomb Schrödinger equation with different types of nonhomogeneities are studied. The particular solution of these nonhomogeneous equations is expressed in closed form in terms of a two-variable hypergeometric ...
Pseudospin and spin symmetries in 1+1 dimensions: the case of the Coulomb potential
(Elsevier B.V., 2015-05-01)
The problem of fermions in 1+1 dimensions in the presence of a pseudoscalar Coulomb potential plus a mixing of vector and scalar Coulomb potentials which have equal or opposite signs is investigated. We explore all the ...
Treatment of the two-body Coulomb problem as a short-range potential
(American Physical Society, 2009-12)
The scattering wave function and the transition amplitude for the two-body Coulomb problem are written as power series of the Sommerfeld parameter. Making use of a mathematical study of the nth derivatives of Kummer function ...
A special asymptotic limit of a Kampé de Fériet hypergeometric function appearing in nonhomogeneous Coulomb problems
(American Institute of Physics, 2011-02)
In the investigation of two-body Coulomb Schrödinger equations with some types of nonhomogeneities, the particular solution can be expressed in terms of a two-variable Kampé de Fériet hypergeometric function. The asymptotic ...
Effects of a mixed vector-scalar screened coulomb potential for spinless particles
(World Scientific Publ Co Pte Ltd, 2006-10-10)
The problem of a spinless particle subject to a general mixing of vector and scalar screened Coulomb potentials in a two-dimensional world is analyzed and its bounded solutions are found. Some unusual results, including ...
Effects of a mixed vector-scalar screened coulomb potential for spinless particles
(World Scientific Publ Co Pte Ltd, 2006-10-10)
The problem of a spinless particle subject to a general mixing of vector and scalar screened Coulomb potentials in a two-dimensional world is analyzed and its bounded solutions are found. Some unusual results, including ...
Non-homogeneous solutions of a Coulomb Schrödinger equation as basis set for scattering problems
(American Institute of Physics, 2014-02)
We introduce and study two-body Quasi Sturmian functions which are proposed as basis functions for applications in three-body scattering problems. They are solutions of a two-body non-homogeneous Schrödinger equation. We ...