Deformed Algebras from Inverse Schwinger Method

Abstract

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.

14 pages, Jeonju University Report, Latex

References in corpus (3)

• Exchange Operator Formalism for Integrable Systems of Particles
• The Calogero Model - Anyonic Representation, Fermionic Extension and Supersymmetry
• q-def oscillator associated with Calogero model and its q-coherent state

Cited by in corpus (2)

• On boson algebras as Hopf algebras
• Equivalence of $q$-bosons using the exponential phase operator