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arXiv:cond-mat/9711286 · Physics Letters A

λ-transition in low dimensional systems with SUq(2) symmetry

Marcelo R. Ubriaco

Published Apr 1, 1998• 12 citations
arXivHTMLPDF
DOI
10.1016/s0375-9601(98)00149-2

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Journal of Physics G Nuclear and Particle Physics•Jul 1, 1994•7 citations
Quantum-deformation of the vibrational symmetry SU(3) supset SU(2) supset SO(2) of the two-dimensional SU(3) interacting boson model is studied from the point of view of the breaking of the dynamical symmetry. It is shown that, in agreement with the earlier work of Gupta et al. (1992) for the one-dimensional problem, the real and complex (more so the complex) q-deformations take this dynamical symmetry very close to the other (rotational) dynamical symmetry SU(3) supset SO(3) supset SO(2) of the two-dimensional SU(3) group. Also, the intermediate results of mixing these two symmetries are obtained, since q-deformations vary continuously. The purely imaginary q-deformation in SU q (3) supset SU q (2) supset SO q (2) restores the SU(3) symmetry for a parameter value larger than 1. Applications to real nuclei are also made.