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Prog. Theor. Phys. Vol. 112 No. 6 (2004) pp. 997-1012
Coupling Schemes for an n su(2) Spin System
Masatoshi Yamamura,1
Constança Providência,2
João da Providência,2
Yasuhiko Tsue3 and
João da Providência, Jr.4
1Faculty of Engineering, Kansai University, Suita 564-8680, Japan
2Departamento de Fisica, Universidade de Coimbra, P-3000 Coimbra,
Portugal
3Physics Division, Faculty of Science, Kochi University, Kochi 780-8520,
Japan
4Departamento de Fisica, Universidade de Beira Interior,
6201-001 Covilhã, Portugal
(Received October 6, 2004)
Abstract:
In the framework of the Schwinger boson representation for the
su(2)-algebra, the closed form is derived for the total spin
eigenstates which result from the coupling of n su(2)-spins.
In order to demonstrate its usefulness, the orthogonal set
for the so(5)-algebra, which is reduced to four su(2)-spin
systems, is obtained.
URL :
http://ptp.ipap.jp/link?PTP/112/997/
DOI : 10.1143/PTP.112.997
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