28 citations · 177 across the 19 of their papers we have counts for
9 papers · 1 filter
On polynomial solutions to Fokker-Planck and sinked density evolution equations
M. Zuparic
We analytically solve for the time dependent solutions of various density evolution models. With specific forms of the diffusion, drift and sink coefficients, the eigenfunctions ca…
The factorized F-matrices for arbitrary U(1)^(N-1) integrable vertex models
M. J. Martins, R. A. Pimenta, M. Zuparic
We discuss the -matrices associated to the -matrix of a general -state vertex model whose statistical configurations encode U(1) symmetries. The factorization condit…
The monodromy matrix in the F-basis for arbitrary six-vertex models
M. J. Martins, M. Zuparic
We present the expressions for the monodromy matrix elements of the six-vertex model in the F-basis for arbitrary Boltzmann weights. The results rely solely on the property of unit…
Studies in Integrable Quantum Lattice Models and Classical Hierarchies
M Zuparic
The following work is an exploration into certain topics in the broad world of integrable models, both classical and quantum, and consists of two main parts of roughly equal length…
Phase model expectation values and the 2-Toda hierarchy
M. Zuparic
We show that the scalar product of the phase model is a (restricted) 2-Toda tau-function. Additionally, we highlight a correspondence between the boundary correlation functions of…
XXZ scalar products and KP
O Foda, M Wheeler, M Zuparic
Using a Jacobi-Trudi-type identity, we show that the scalar product of a general state and a Bethe eigenstate in a finite-length XXZ spin-1/2 chain is (a restriction of) a KP tau f…