Group contractions and its consequences upon representations of different spatial symmetry groups

Mauricio Ayala; Richard Haase

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arXiv · hep-th/0206037

Group contractions and its consequences upon representations of different spatial symmetry groups

Mauricio Ayala·Richard Haase

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Abstract

We investigate the group contraction method for various space-time groups, including SO(3)->E_2, SO(3,1)->G_3, SO(5-h,h)->P(3,1) (h=1 or 2), and its consequences for representations of these groups. Following strictly quantum mechanical procedures we specifically pay attention in the asymptotic limiting procedure employed in the contraction G -> G', not only to the respective algebras but to their representations spaces spanned by the eigenvectors of the Cartan subalgebra and the eigenvalues labelling these representation spaces. Where appropriate a physical interpretation is given to the contraction prodecure.

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Mauricio Ayala, Richard Haase. 2002-06-06. Group contractions and its consequences upon representations of different spatial symmetry groups. https://arxiv.org/abs/hep-th/0206037

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