From the Bethe Ansatz to the Gessel-Viennot Theorem

Details From the Bethe Ansatz to the Gessel-Viennot Theorem From the Bethe Ansatz to the Gessel-Viennot Theorem

2000-06-21

arxiv.org/abs/math/0006153v1

Annals of Combinatorics 3 (1999) 251-263

Mathematics

Combinatorics

Scientific paper

We state and prove several theorems that demonstrate how the coordinate Bethe Ansatz for the eigenvectors of suitable transfer matrices of a generalised inhomogeneous five-vertex model on the square lattice, given certain conditions hold, is equivalent to the Gessel-Viennot determinant for the number of configurations of $N$ non-intersecting directed lattice paths, or vicious walkers, with various boundary conditions. Our theorems are sufficiently general to allow generalisation to any regular planar lattice.

Affiliated with

Also associated with

No associations

Rating

From the Bethe Ansatz to the Gessel-Viennot Theorem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with From the Bethe Ansatz to the Gessel-Viennot Theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From the Bethe Ansatz to the Gessel-Viennot Theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-22994