Physics NotePublished
Dynamical System Approach to Generalized su(2) Algebras
E. M. F. Curado; Marco Aurélio do Rego Monteiro
2001
Publication details
- Authors
- E. M. F. Curado; Marco Aurélio do Rego Monteiro
- Type
- Physics Note
- Status
- Published
- Publication date
- 2001
- Description
- We present an iterative algebraic formalism that contains the <math>su(2)\,\!</math> algebra as a particular case. This algebra is written in terms of a functional of one generator of the algebra, <math>f(J_{0})\,\!</math>, that can be any analytical function. We construct the representation of the algebra for <math>f(J_{0}) = rJ_{0} - s \,\!</math> and build a map connecting this generalization with <math>su_{q}(2)\,\!</math> algebra. The algebra generated by the non-linear (quadratic) function <math>f\,\!</math> is investigated as well. We study the representations of this algebra through the dependence of these representations on the fixed points of the function <math>f\,\!</math>, and their stability properties.
- Year
- 2001
- Number
- CBPF-NF-042/01
- Linked to a thesis
- No
- Linked to a grant
- No