Procedures for the evaluation of atomic transition matrix elements in the interaction with laser light. L.B. Madsen, J.P. Hansen, H.M. Nilsen.

PROGRAM SUMMARY
Title of program: fnodipol
Catalogue identifier: ADKO
Ref. in CPC: 120(1999)231
Distribution format: uuencoded compressed tar file
Operating system: HP-UX
Number of bits in a word: 7
Number of lines in distributed program, including test data, etc: 311
Programming language used: Matlab
Computer: HP workstations

Nature of physical problem:
Calculation of exact matrix elements between hydrogenic states perturbed by linearly or circularly polarized laser light. The different functions which are called by the main code, fnodipol, allows the evaluation of the radial hydrogen wavefunction and its derivative, spherical harmonics, the integral of a product of three spherical harmonics, 3-j symbols and Clebsch-Gordan coefficients.

Method of solution
Rectangular integration based on numerical evaluation of the radial wavefunctions and plane wave expansion of the light field.

Restrictions on the complexity of the program
Only quantum numbers up to n=30 has been tested on our installation. More careful evaluation of hydrogenic states is needed at even higher n (and low l) quantum numbers.

Typical running time
From seconds to minutes depending on the number of mesh-points.