Deformed Algebras from Inverse Schwinger Method

Details Deformed Algebras from Inverse Schwinger Method Deformed Algebras from Inverse Schwinger Method

1994-06-14

arxiv.org/abs/hep-th/9406084v1

J.Phys. A28 (1995) 1005-1016

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Jeonju University Report, Latex

Scientific paper

10.1088/0305-4470/28/4/023

We consider a problem which may be viewed as an inverse one to the Schwinger realization of Lie algebra, and suggest a procedure of deforming the so-obtained algebra. We illustrate the method through a few simple examples extending Schwinger's $su(1,1)$ construction. As results, various q-deformed algebras are (re-)produced as well as their undeformed counterparts. Some extensions of the method are pointed out briefly.

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