Recurrence relation for the 6j-symbol of su_q(2) from an eigenvalue problem
Year: 2010
Type: preprint
Abstract: A new, linear, three-term recurrence relation for the 6j-symbol of the quantum group su_q(2) is derived. It is cast in the form of a symmetric eigenvalue problem, generalizing a result of Schulten and Gordon for the classical 6j-symbol, and is particularly useful as an efficient numerical evaluation algorithm. The derivation is elementary and avoids the use of q-hypergeometric functions, as in the previous work on related recurrence relations by Kachurik and Klimyk. Intermediate calculations are simplified using the diagrammatic spin network formalism of Temperley-Lieb recoupling theory
Source: arXiv (Cornell University)
Author: Igor Khavkine
Institution: Utrecht University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2149372239