4 papers · 1 filter
Realization embeddings of the rank two Racah algebra into the rank two Jacobi algebra
Nicolas Crampé, Sarah Post, Luc Vinet
We construct an explicit embedding of the rank two Racah algebra into the rank two Jacobi algebra . Working in the differential model of $\mathfrak…
Perfect state transfer in inhomogeneous XX model of q-Racah type
Nicolas Crampe, Simon Lafrance, Charles Robillard +1
New exactly solvable one-dimensional XX spin chain models that exhibit perfect state transfer are defined. These models have inhomogeneous couplings and magnetic fields determined…
The rank two Jacobi algebra
Nicolas Crampe, Satoshi Tsujimoto, Luc Vinet +1
The quadratic rank two Jacobi algebra is identified from the relations obeyed by the bispectral operators of the two variable Jacobi polynomials orthogonal on the triangle. It is s…
Griffiths polynomials of Racah type
Nicolas Crampe, Luc Frappat, Julien Gaboriaud +3
Bivariate Griffiths polynomials of Racah type are constructed from univariate Racah polynomials. The bispectral properties of the former are deduced from simple properties of the l…