Séminaire de Physique ThéoriqueDeterminant solution for the Totally Asymmetric Exclusion Process with parallel update
Alexander Povolotsky (DIAS, Dublin, Ireland & JINR, Dubna, Russia)
Wednesday 20 June 2007 14:00 - Tours - Salle 1180 (Bât E2)
We obtain the determinant expression for the time dependent transition probabilities in the totally asymmetric exclusion process with parallel update. The solution is based on the Bethe ansatz. Developing the method of the summation over the roots of Bethe equations based on the multidimensional Cauchy residue theorem, we construct the resolution of the identity operator, which allows one to calculate the matrix elements of the evolution operator and its powers.