Year: 2001
Type: article
Abstract: Four classes of three-dimensional quadratic algebra of the type [ Q 0 , Q ± ] = ± Q ± , [ Q + , Q - ] = aQ 0 2 + bQ 0 + c , where ( a , b , c ) are constants or central elements of the algebra, are constructed using a generalization of the well known two-mode bosonic realizations of su (2) and su (1,1). The resulting matrix representations and single variable differential operator realizations are obtained. Some remarks on the mathematical and physical relevance of such algebras are given.
Authors: V Sunil Kumar, B A Bambah, R Jagannathan
Institutions: University of Hyderabad, Institute of Mathematical Sciences
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2072220738