Reis, Mauricio; Terra Cunha, M. O.; Oliveira, Adelcio C.; Nemes, M. C. Relation between quantum phase transitions and classical instability points in the pairing model. (English) Zbl 1194.81129 Phys. Lett., A 344, No. 2-4, 164-169 (2005). Summary: A quantum phase transition, characterized by an accumulation of energy levels in the spectrum of the model, is associated with a qualitative change in the corresponding classical dynamic obtained upon generalized coherent states of angular momentum. Cited in 2 Documents MSC: 81R30 Coherent states Keywords:quantum phase transition; quantum-classical transition; instability points; stereographic projection PDFBibTeX XMLCite \textit{M. Reis} et al., Phys. Lett., A 344, No. 2--4, 164--169 (2005; Zbl 1194.81129) Full Text: DOI References: [1] Emary, C.; Brandes, T., Phys. Rev. E, 67, 066203 (2003) [2] Heiss, W. D.; Müller, M., Phys. Rev. E, 66, 016217 (2002) [3] Hines, A. P., Phys. Rev. A, 70, 022303 (2004) [4] Wang, J.; Kais, S., Phys. Rev. A, 70, 022301 (2004) [5] Krieger, S.; Goeke, K., Nucl. Phys. A, 234, 269 (1974) [6] Pellegrino, G. Q.; Furuya, K.; Nemes, M. C., Chaos Solitons Fractals, 3, 241 (1993) [7] Trindade dos Santos, M., Phys. Scr., 55 (1997) [8] Lawden, D. F., Elliptic Functions and Applications (1989), Springer-Verlag: Springer-Verlag New York · Zbl 0562.53046 [9] Zhang, W.; Feng, D. H.; Gilmore, R., Rev. Mod. Phys., 62, 4 (1990) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.