A program to compute exact hydrogenic radial integrals, oscillator strengths, and Einstein coefficients, for principal quantum numbers up to n[approximate]1000

@article{citeulike:106712, abstract = {An exact expression for the dipole radial integral of hydrogen has been given by Gordon [Ann. Phys. 2 (1929) 1031]. It contains two hypergeometric functions F(a,b;c;x), which are difficult to calculate directly, when the (negative) integers a, b are large, as in the case of high Rydberg states of hydrogenic ions. We have derived a simple method [D. Hoang-Binh, Astron. Astrophys. 238 (1990) 449], using a recurrence relation to calculate exactly F, starting from two initial values, which are very easy to compute. We present here a numerical code using this method.Program summaryTitle of program: ba5.fCatalogue identifier: ADUUProgram summary URL: http://cpc.cs.qub.ac.uk/summaries/ADUUProgram obtainable from: CPC Program Library, Queen's University of Belfast, N. IrelandComputers: all computers with a Fortran 77 compilerOperating system used: MacOS 9.0Programming language used: Fortran 77No. of lines in distributed program, including test data, etc.: 424No. of bytes in distributed program, including test data, etc.: 2721Distribution format: tar.gzNature of physical problem: Exact calculation of atomic data.Method of solution: Use of recursion relation.Typical run time: 2 s}, author = {Hoang-Binh, D. }, citeulike-article-id = {106712}, doi = {10.1016/j.cpc.2004.11.005}, journal = {Computer Physics Communications}, keywords = {compute, hydrogenic, numbers, quantum}, month = {March}, number = {3}, pages = {191--196}, posted-at = {2005-03-01 00:05:43}, priority = {2}, title = {A program to compute exact hydrogenic radial integrals, oscillator strengths, and Einstein coefficients, for principal quantum numbers up to n[approximate]1000}, url = {http://dx.doi.org/10.1016/j.cpc.2004.11.005}, volume = {166}, year = {2005} }

TY - JOUR ID - citeulike:106712 L3 - citeulike-article-id:106712 TI - A program to compute exact hydrogenic radial integrals, oscillator strengths, and Einstein coefficients, for principal quantum numbers up to n[approximate]1000 JF - Computer Physics Communications VL - 166 IS - 3 SP - 191 EP - 196 N2 - An exact expression for the dipole radial integral of hydrogen has been given by Gordon [Ann. Phys. 2 (1929) 1031]. It contains two hypergeometric functions F(a,b;c;x), which are difficult to calculate directly, when the (negative) integers a, b are large, as in the case of high Rydberg states of hydrogenic ions. We have derived a simple method [D. Hoang-Binh, Astron. Astrophys. 238 (1990) 449], using a recurrence relation to calculate exactly F, starting from two initial values, which are very easy to compute. We present here a numerical code using this method.Program summaryTitle of program: ba5.fCatalogue identifier: ADUUProgram summary URL: http://cpc.cs.qub.ac.uk/summaries/ADUUProgram obtainable from: CPC Program Library, Queen's University of Belfast, N. IrelandComputers: all computers with a Fortran 77 compilerOperating system used: MacOS 9.0Programming language used: Fortran 77No. of lines in distributed program, including test data, etc.: 424No. of bytes in distributed program, including test data, etc.: 2721Distribution format: tar.gzNature of physical problem: Exact calculation of atomic data.Method of solution: Use of recursion relation.Typical run time: 2 s KW - compute KW - hydrogenic KW - numbers KW - quantum AU - Hoang-Binh, D PY - 2005/03/15/ UR - http://dx.doi.org/10.1016/j.cpc.2004.11.005 ER -