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Barba, J. C: ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | American Physical Society | 2009-10In this paper, we show that there is a family of well-known integrable systems whose spectral fluctuations decay as 1/ f^ 4, and thus do not follow the 1/ f ^2 law recently conjectured for integrable systems. We present a simple theoretical just[...]texto impreso
Barba, J. C: ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier | 2009-01-11We construct a new exactly solvable supersymmetric spin chain related to the BC_N extended root system, which includes as a particular case the BC_N version of the Polychronakos-Frahm spin chain. We also introduce a supersymmetric spin dynamical[...]texto impreso
Barba, J. C: ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier | 2010-11-11In this paper we study Inozemtsev's su(m) quantum spin model with hyperbolic interactions and the associated spin chain of Haldane-Shastry type introduced by Frahm and Inozemtsev. We compute the spectrum of Inozemtsev's model, and use this resul[...]texto impreso
Barba, J. C: ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | American Physical Society | 2008-06We compute the partition function of the su(m) Polychronakos-Frahm spin chain of BC_N type by means of the freezing trick. We use this partition function to study several statistical properties of the spectrum, which turn out to be analogous to [...]
