51. New heuristic approach to the calculation of general recoupling coefficients
- Author
-
V. Fack and D. Van Dyck
- Subjects
Discrete mathematics ,Reduction (complexity) ,Front and back ends ,Set (abstract data type) ,Hardware and Architecture ,Heuristic ,Process (computing) ,General Physics and Astronomy ,Cubic graph ,Graph (abstract data type) ,Algorithm ,Statistical graphics ,Mathematics - Abstract
General angular momentum recoupling coefficients can be expressed as a summation formula over products of 6-j coefficients. Yutsis, Levinson and Vanagas developed graphical techniques for representing the general recoupling coefficient as a cubic graph and they describe a set of reduction rules on such a graph which allow a stepwise generation of the corresponding summation formula. In this paper we present a new heuristic approach to earlier reduction algorithms based on these techniques. In particular the heuristic tries in each step to make an ‘intelligent’ choice of which specific reduction rule to apply on which part of the graph. This approach leads to good results: in many cases we get a more efficient summation formula than the other algorithms. The program is written in Java and offers a platform-independent graphical user front end which allows user-friendly manipulation of recoupling coefficients as well as a detailed follow-up of the reduction process.
- Published
- 2003
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