2022 Impact factor 4.4
Particles and Fields
Open Access
Eur. Phys. J. C 32, s1.41-s1.56 (2004)
DOI: 10.1140/epjcd/s2003-01-003-7

Schwinger's oscillator realization of an SO(9) tensor operator

Teparksorn Pengpan

Physics Department, Faculty of Science, Prince of Songkla University, Hatyai 90112, Thailand  


(Received 13 December 2002 / Published online 30 January 2003)


The weights and representation matrices of the vector and the spinor representation of the Lie algebra SO(9) are introduced in the quantum mechanical language. Tensor product decompositions of any two of them are explicitly shown by using an algebraic method of quantum mechanics. Similar decompositions are finally achieved for a coupled tensor operator in the picture of Schwinger's bosonic oscillators.

PACS: 02.20.Qs - 03.65.Fd - 04.65.+e - 12.60.Jv

© Società Italiana di Fisica, Springer-Verlag 2004