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Integrals involved in the perturbation theory of a hydrogen-like system. II

✍ Scribed by J. MŁodzki


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
298 KB
Volume
34
Category
Article
ISSN
0010-4655

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✦ Synopsis


Method of solution

The second order corrections to the energy can be evaluated by Title of program: GREEN2 use of the matrix elements of the lth partial waves of the nth reduced Coulomb Green's function G7( r 2, r1) [2) between Catalogue number: ACDI functions r~' exp(-r2/n) and rr exl,( -r1/n) [4,5]. When I ~n the matrix elements are expressed by the infinite sums [3]. Program obtainable from: CPC Program Library, Queen's Uni-Using special data structures and an algorithm of decomposiversity of Belfast, N. Ireland (see application form in this issue) tion of a rational function into simple fractions the program evaluates the matrix elements in question.


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Integrals involved in the perturbation t
✍ J. MŁodzki; A. Lusakowski; M. Suffczyński 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 397 KB

Title ofprogram: GREEN are involved in evaluating corrections to the wave function in first order perturbation theory. The formulae for these integrals Catalogue number: ACDH can be expressed in terms of polynomials multiplied by an exponential, an exponential integral and a logarithm [5]. The Progr