30 citations · 87 across the 4 of their papers we have counts for
5 papers
An exactly solvable supersymmetric spin chain of BC_N type
J. C. Barba, F. Finkel, A. Gonzalez-Lopez +1
We 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-Fr…
The Berry-Tabor conjecture for spin chains of Haldane-Shastry type
J. C. Barba, F. Finkel, A. Gonzalez-Lopez +1
According to a long-standing conjecture of Berry and Tabor, the distribution of the spacings between consecutive levels of a "generic'' integrable model should follow Poisson's law…
The Polychronakos-Frahm spin chain of BC_N type and Berry-Tabor's conjecture
J. C. Barba, F. Finkel, A. Gonzalez-Lopez +1
We 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 statistic…
A novel quasi-exactly solvable spin chain with nearest-neighbors interactions
A. Enciso, F. Finkel, A. Gonzalez-Lopez +1
In this paper we study a novel spin chain with nearest-neighbors interactions depending on the sites coordinates, which in some sense is intermediate between the Heisenberg chain a…
Lie Algebras of Differential Operators and Partial Integrability
Federico Finkel, Artemio Gonzalez-Lopez, Niky Kamran +2
This paper surveys recent work on Lie algebras of differential operators and their application to the construction of quasi-exactly solvable Schroedinger operators.