Maple procedures for the coupling of angular momenta. VII. Extended and accelerated computations
Description
Abstract During recent years, much attention in developing general-purpose, computer–algebra systems was focused not only on better symbolic algorithms but, to a very similar extent, also on fast numerical computations and improved tools for visualization. Behind this development, of course, the main idea is to provide the users with a single environment for the solution of their scientific or engineering tasks. In a revised version of the Racah program, we follow this idea and provide a fast and much... Title of program: RACAH Catalogue Id: ADFV_v7_0 [ADRW] Nature of problem The theories of angular momentum and spherical tensor operators provide a very powerful calculus for the study of (quantum) many-particle systems, sometimes known also as Racah's algebra. The efficient use of these theories, however, require - apart from the knowledge of a great deal of algebraic transformations and rules - a fast and reliable access to their standard quantities such as the Wigner n-j symbols and Clebsch-Gordan coefficients, spherical harmonics of various kinds, the rotation mat ... Versions of this program held in the CPC repository in Mendeley Data ADFV_v1_0; Racah; 10.1016/S0010-4655(97)00032-5 ADFV_v2_0; Racah; 10.1016/S0010-4655(98)00021-6 ADFV_v3_0; RACAH; 10.1016/S0010-4655(00)00234-4 ADFV_v4_0; RACAH; 10.1016/S0010-4655(01)00218-1 ADFV_v5_0; RACAH; 10.1016/S0010-4655(01)00219-3 ADFV_v6_0; RACAH; 10.1016/S0010-4655(02)00591-X ADFV_v7_0; RACAH; 10.1016/S0010-4655(03)00227-3 ADFV_v8_0; RACAH; 10.1016/j.cpc.2004.11.003 ADFV_v9_0; RACAH; 10.1016/j.cpc.2005.12.008 ADFV_v10_0; RACAH; 10.1016/j.cpc.2009.06.018 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)