Precise Coulomb Wave Functions for a Wide Range of Complex l, η, and z
- ORNL
A new algorithm to calculate Coulomb wave functions with all of its arguments complex is proposed. For that purpose, standard methods such as continued fractions and power/asymptotic series are combined with direct integrations of the Schroedinger equation in order to provide very stable calculations, even for large values of |{eta}| or |{lm}({ell})|. Moreover, a simple analytic continuation for R(z)<0 is introduced, so that this zone of the complex z-plane does not pose any problem. This code is particularly well suited for low-energy calculations and the calculation of resonances with extremely small widths. Numerical instabilities appear, however, when both |{eta}| and |{lm}({ell})| are large and |R({ell})| comparable or smaller than |{lm}({ell})|. Catalogue number:ADYO{_}v1{_}0 Program summary URL:http://cpc.cs.qub.ac.uk/summaries/ADYO{_}v1{_}0 Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland Licensing provisions: none Computers on which the program has been tested: DELL GX400 Operating systems: Linux, Windows Programming language used: C++ No. of bits in a word: 64 No. of processors used: 1 Has the code been vectorized?: no No. of bytes in distributed program, including test data, etc.: 33 092 No. of lines in distributed program, including test data, etc.: 3210 Distribution format:tar.gz Nature of physical problem: The calculation of Coulomb wave functions with all of their arguments complex is revisited.
- Research Organization:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- DE-AC05-00OR22725
- OSTI ID:
- 931337
- Journal Information:
- Computer Physics Communications, Vol. 176; ISSN 0010-4655
- Country of Publication:
- United States
- Language:
- English
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