@article{10272/5503, year = {2011}, month = {6}, url = {http://hdl.handle.net/10272/5503}, abstract = {Analytical results beyond the mean-field-limit approximation for several observables of the two-dimensional limit of the vibron model are presented. Finite-size scaling exponent values are also analytically derived. The computed corrections and scaling exponents are compared to numerical calculations for this algebraic model, based on a bosonic u(3) spectrum-generating algebra, obtaining good agreement.}, organization = {This work has been partially supported by the Spanish MEC, by the European regional development fund (FEDER) under Projects No. FIS2008-04189 and CPAN-Ingenio (No. CSD2007-00042), and by the Junta de Andalucia (Projects No. P07-FQM-02962, No. P07-FQM-03014, and No. P07-FQM-02894). P.P.F. acknowledges the Spanish MEC for an FPU grant. The authors thank Jorge Dukelsky, Francesco Iachello, Pieter van Isacker, Amiram Leviatan, and Armando Relano for valuable comments and suggestions.}, publisher = {American Physical Society}, keywords = {Bosones}, title = {Finite-size corrections in the bosonic algebraic approach to two-dimensional systems}, doi = {10.1103/PhysRevA.83.062125}, author = {Pérez Fernández, Pedro and Arias Carrasco, José Miguel and García Ramos, José Enrique and Pérez Bernal, Francisco}, }