Hidden symmetries in generalized su(2) algebras

E.M.f Curado and M.a Rego-Monteiro

Physica A: Statistical Mechanics and its Applications, 2001, vol. 295, issue 1, 268-275

Abstract: We propose an algebraic formalism that contains the su(2) algebra as a particular case. This generalization follows the same ideas recently developed to the Heisenberg algebra and allows a geometrical visualization of the eigenvalues of the generator of the algebra, unveiling a hidden symmetry behind the sequence of eigenvalues of this operator. A particular (linear) case is studied in detail providing finite-dimensional spin-αj representation for real αj. More general situations (non-linear) could also be studied, leading to a multi parametric deformation of the su(2) algebra. A connection with the formalism of dynamical systems is also exhibited and it is shown how the representation theory of this algebra uses the concepts of attractors and stability of attractors.

Keywords: su(2) algebra; Quantum algebras; suq(2) algebra; Attractors (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:295:y:2001:i:1:p:268-275

DOI: 10.1016/S0378-4371(01)00086-3

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