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EPJ direct

, Volume 1, Issue 1, pp 1–16 | Cite as

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

  • T. PengpanEmail author
Article
  • 60 Downloads

Abstract

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 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Physics Department, Faculty of SciencePrince of Songkla UniversityHatyaiThailand

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