On matrix product ansatz for Asymmetric Simple Exclusion Process with open boundary in the singular case

Wlodzimierz Bryc, Marcin Swieca

We study a substitute for the matrix product ansatz for Asymmetric Simple Exclusion Process with open boundary in the ``singular case'' $\hat{I}\pm {\hat{I}}^2=q^N{\hat{I}}^3\hat{I}´$, when the standard form of th…