On the B-splines effective completeness

Computer Physics Communications

Volumn 180, Issue 9, 2009, Pages 1442-1447

  Argenti, Luca ^a   Colle, Renato ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

B splines; Effective completeness; Photo ionization; Rydberg states

Indexed keywords

B-SPLINE; B-SPLINES; EFFECTIVE COMPLETENESS; EIGENVALUE DISTRIBUTIONS; LARGE CLASS; LARGE DEVIATIONS; LIMIT SOLUTION; MACHINE ACCURACY; MATRIX; NON-UNIFORM GRIDS; POSITIVE DEFINITE; UNIFORM DISTRIBUTION;

ATOMIC PHYSICS; EIGENVALUES AND EIGENFUNCTIONS; HYDROGEN; IONIZATION; RYDBERG STATES; SHIP PROPELLERS;

SPLINES;

EID: 68849094825     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2009.03.002     Document Type: Article

References (18)

1. Shore B. Solving the radial Schrödinger equation by using cubic-spline basis functions. J. Chem. Phys. 58 (1973) 3855
2. Fiebig H.R. A spline function approach to the numerical treatment of scattering and bound-state problems for nonlocal potentials. Comput. Phys. Comm. 20 (1980) 181
3. deBoor C. A Practical Guide to Splines (1985), Springer, New York
4. Sapirstein J., and Johnson W.R. The use of basis splines in theoretical atomic physics. J. Phys. B: At. Mol. Opt. Phys. 29 (1996) 5213
5. Fischer C.F., and Idrees M. Spline algorithms for continuum functions. Computers in Physics 3 (1989) 53
6. Fischer C.F., and Idrees M. Spline methods for resonances in photoionisation cross sections. J. Phys. B: At. Mol. Opt. Phys. 23 (1990) 679
7. Fischer C.F., and Guo W. Spline algorithms for the Hartree-Fock equation for the helium ground state. J. Comp. Phys. 90 (1990) 486
8. Zatsarinny O. B-spline atomic r-matrix codes. Comput. Phys. Comm. 174 (2006) 273
9. Nikolopoulos L.A.A. A package for the ab-initio calculation of one- and two-photon cross sections of two-electron atoms, using a CI B-splines method. Comput. Phys. Comm. 150 (2003) 140
10. Bachau H., Cormier E., Decleva P., Hansen J.E., and Martín F. Applications of b-splines in atomic and molecular physics. Rep. Prog. Phys. 64 (2001) 1815
11. Fischer C.T.F. B-splines in variational atomic structure calculations. Adv. At. Mol. Opt. Phys. 55 (2008) 235
12. Hansen J.E., Bentley M., van der Hart H.W., Landtman M., Lister G.M.S., Shen Y.T., and Vaeck N. The introduction of b-spline basis sets in atomic structure calculations. Phys. Scripta T47 (1993) 7
13. 2S). J. Phys. B: At. Mol. Opt. Phys. 16 (1983) 3703
14. Friedrich H.S. Theoretical Atomic Physics (1994), Springer, New York
15. e,o resonance series in helium. J. Phys. B: At. Mol. Opt. Phys. 40 (2007) 3655
16. Grenander U., and Szegö G. Toeplitz Forms and Their Applications (1958), University of California Press, Berkeley and Los Angeles
17. Courant R., and Hilbert D. Methods of Mathematical Physics (1966), Interscience Publisher, Inc., New York
18. Gerschgorin S. Über die abgrenzung der eigenwerte einer matrix. Izv. Akad. Nauk. USSR Otd. Fiz.-Mat. 7 (1931) 749