✦ LIBER ✦

Finite element basis for the expansion of radial wavefunction in quantum scattering calculations

✍ Scribed by Woonglin Hwang; Yoon Sup Lee; Seung C. Park

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 558 KB
Volume: 187
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(91)90504-3

No coin nor oath required. For personal study only.

✦ Synopsis

Radial wavefunctions in quantum scattering calculations are expanded in terms of two shape functions for each finite element. This approach is the R matrix version of Kohn's variational method and also directly applicable to Smatrix in the log-derivative version. The linear algebra involved amounts to solving definite banded systems. In this basis set method, R matrix or log-derivative matrix is greatly simplified and the computational effort is linearly proportional to the number of radial basis functions, promising computational efficiencies for large scale calculations. Convergences for test vases are also reasonably rapid.

📜 SIMILAR VOLUMES

A method for the rapid calculation of ma

A method for the rapid calculation of matrix elements with highly oscillatory JWKB radial wavefunctions

✍ B. Shizgal 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 356 KB

The use of gaussian nuclear charge distr

The use of gaussian nuclear charge distributions for the calculation of relativistic electronic wavefunctions using basis set expansions

✍ O. Visser; P.J.C. Aerts; D. Hegarty; W.C. Nieuwpoort 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 416 KB

It is demonstrated that the use of a Gaussian charge distribution to represent the nucleus is advantageous in relativistic quantum chemical basis set expansion calculations. It removes the singularity at the origin of the Dirac wavefunction, leading to a more rapid convergence of the ground-state en

The S-matrix version of the Hulthén-Kohn

The S-matrix version of the Hulthén-Kohn variational principle for quantum scattering: comparison between conventional and finite element basis sets

✍ R. Jacquet; U. Schnupf 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 701 KB

Theoretical basis of the finite element

Theoretical basis of the finite element iterative method for the eigenvalue problem in stationary cracks

✍ Roshdy S. Barsoum 📂 Article 📅 1988 🏛 John Wiley and Sons 🌐 English ⚖ 493 KB 👁 1 views

Allowing for the creep of concrete in a

Allowing for the creep of concrete in a finite-element structural calculation

✍ R. Eymard 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 742 KB

The method of generating functions for t

The method of generating functions for the calculation of matrix elements in the deformed-harmonic oscillator basis

✍ Rainer W Hasse 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 996 KB

The method of generating functions which was previously only employed for the spherical basis of harmonic-oscillator single-particle wave functions is here generalized to the deformed (=cylindrical = asymptotic) basis. One-center and two-center matrix elements which are important in fission or heavy