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Manuscript Title: Integrals involved in the perturbation theory of a hydrogen-like system. II.
Authors: J. Mlodzki
Program title: GREEN2
Catalogue identifier: ACDI_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 34(1984)211
Programming language: Pascal.
Computer: CDC 6000.
Operating system: SCOPE 3.4.4.
RAM: 14K words
Word size: 60
Keywords: Atomic physics, Wave function, Perturbation theory, Coulomb green's reduced Function, Hydrogen-like system.
Classification: 2.7.

Nature of problem:
Computation of the second order corrections to the energy of the nth bound state of a hydrogen-like system.

Solution method:
The second order corrections to the energy can be evaluated by use of the matrix elements of the lth partial waves of the nth reduced Coulomb Green's function Gl**n(r2,r1) between functions r2**k exp(-r2/n) and r1**m exp(-r1/n). When 1>= n the matrix elements are expressed by the infinite sums. Using special data structures and an algorithm of decomposition of a rational function into simple fractions the program evaluates the matrix elements in question.

The numbers n, l, k, m satisfy the following conditions:
n = 1,2..5, l = n..5, k,m = 0,1..8.

Running time:
Compilation - 8 s Evaluation of matrix element - 50 ms