The Calculation of Spherical Bessel Functions and Coulomb Functions
نویسنده
چکیده
An account is given of the Steed algorithm for calculating Coulomb functions and, as a special case, both spherical Bessel and Riccati–Bessel functions. These functions are needed for boundary-condition matching in scattering problems in Atomic and Nuclear physics. Central to the technique is the evaluation of continued fractions and for this calculation Lentz’s forward method (modified by Thompson) is recommended. The FORTRAN 77 programs SBESJY, RICBES and COUL90 are presented and described, and some test cases are given. In each program the algorithm returns both the regular and irregular functions as well as their derivatives. The programs are written for real arguments and real orders; references guide the reader to more general codes.
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تاریخ انتشار 2007