Title
Relativistic central-field Green's functions for the Ratip package
Abstract
From perturbation theory, Green's functions are known for providing a simple and convenient access to the (complete) spectrum of atoms and ions. Having these functions available, they may help carry out perturbation expansions to any order beyond the first one. For most realistic potentials, however, the Green's functions need to be calculated numerically since an analytic form is known only for free electrons or for their motion in a pure Coulomb field. Therefore, in order to facilitate the use of Green's functions also for atoms and ions other than the hydrogen-like ions, here we provide an extension to the Ratip program which supports the computation of relativistic (one-electron) Green's functions in an—arbitrarily given—central-field potential V(r). Different computational modes have been implemented to define these effective potentials and to generate the radial Green's functions for all bound-state energies E<0. In addition, care has been taken to provide a user-friendly component of the Ratip package by utilizing features of the Fortran 90/95 standard such as data structures, allocatable arrays, or a module-oriented design.
Year
DOI
Venue
2005
10.1016/j.cpc.2005.01.023
Computer Physics Communications
Keywords
Field
DocType
32.10,32.80,32.80.Fb,32.80.Wr
Coulomb,Data structure,Confluent hypergeometric function,Perturbation theory,Mathematical analysis,Quantum mechanics,Fortran,Atom,Classical mechanics,Perturbation (astronomy),Computation,Physics
Journal
Volume
Issue
ISSN
172
3
0010-4655
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Peter Koval121.20
Stephan Fritzsche252.64