On the Decomposition of Tensors by Contraction

Rev. Mod. Phys. 21, 494 – Published 1 July 1949
Giulio Racah


The decomposition of tensors into irreducible representations of the orthogonal groups is calculated for three and four dimensions. The connection is shown with the problem of the allowed values of ordinary and isotopic spin for a given symmetry of the spacial eigenfunction of a nuclear system.

DOI: http://dx.doi.org/10.1103/RevModPhys.21.494

© 1949 The American Physical Society

Authors & Affiliations

Giulio Racah

  • Einstein Institute of Physics, The Hebrew University, Jerusalem, Israel

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