Exact solution of a many body problem with nearest and next-nearest neighbour interactions

Details Exact solution of a many body problem with nearest and next-nearest neighbour interactions Exact solution of a many body problem with nearest and next-nearest neighbour interactions

2000-08-14

arxiv.org/abs/cond-mat/0008199v1

Phys.Lett. A279 (2001) 29-32

Physics

Condensed Matter

Latex, 6 pages, no figure

Scientific paper

10.1016/S0375-9601(00)00816-1

Recently a partially solvable many-body problem with nearest and next-nearest neighbour interactions is proposed [cond-mat/9904121]. We show that by adding a suitably chosen momentum dependent nearest neighbour interaction, such a model can be converted into an integrable system with Lax operator formulation and related conserved quantities. We also solve the eigenvalue problem for the model exactly and as a byproduct obtain some identities involving associated Laguerre polynomials.

Affiliated with

Also associated with

No associations

Rating

Exact solution of a many body problem with nearest and next-nearest neighbour interactions 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 Exact solution of a many body problem with nearest and next-nearest neighbour interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact solution of a many body problem with nearest and next-nearest neighbour interactions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-395011