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Clebsch-Gordan and Racah coefficients of SU{sub pq}(2)

Abstract

Explicit expressions for the Clebsch-Gordan coefficients and for the Racah coefficients of the two-parametric quantum algebra SU{sub pq}(2) are derived. They are given as finite sums and as terminating basic hypergeometric functions {sub 3}{phi}{sub 2} and {sub 4}{phi}{sub 3}. It is indicated how other expressions for these coefficients can be derived with the help of basic hypergeometric functions. (author). 11 refs.
Authors:
Publication Date:
Dec 31, 1993
Product Type:
Technical Report
Report Number:
ITP-93-54
Reference Number:
SCA: 661100; PA: AIX-25:032164; EDB-94:071851; NTS-94:019473; SN: 94001192784
Resource Relation:
Other Information: PBD: 1993
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM MECHANICS; SU-2 GROUPS; CLEBSCH-GORDAN COEFFICIENTS; GROUP THEORY; HYPERGEOMETRIC FUNCTIONS; RACAH COEFFICIENTS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10144885
Research Organizations:
AN Ukrainskoj SSR, Kiev (Ukraine). Inst. Teoreticheskoj Fiziki
Country of Origin:
Ukraine
Language:
English
Other Identifying Numbers:
Other: ON: DE94622728; TRN: UA9400259032164
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
8 p.
Announcement Date:
Jul 05, 2005

Citation Formats

Kachurik, I I. Clebsch-Gordan and Racah coefficients of SU{sub pq}(2). Ukraine: N. p., 1993. Web.
Kachurik, I I. Clebsch-Gordan and Racah coefficients of SU{sub pq}(2). Ukraine.
Kachurik, I I. 1993. "Clebsch-Gordan and Racah coefficients of SU{sub pq}(2)." Ukraine.
@misc{etde_10144885,
title = {Clebsch-Gordan and Racah coefficients of SU{sub pq}(2)}
author = {Kachurik, I I}
abstractNote = {Explicit expressions for the Clebsch-Gordan coefficients and for the Racah coefficients of the two-parametric quantum algebra SU{sub pq}(2) are derived. They are given as finite sums and as terminating basic hypergeometric functions {sub 3}{phi}{sub 2} and {sub 4}{phi}{sub 3}. It is indicated how other expressions for these coefficients can be derived with the help of basic hypergeometric functions. (author). 11 refs.}
place = {Ukraine}
year = {1993}
month = {Dec}
}