English

Quasi-Exactly-Solvable Many-Body Problems

High Energy Physics - Theory 2009-10-30 v2 funct-an Functional Analysis

Abstract

Explicit examples of quasi-exactly-solvable NN-body problems on the line are presented. These are related to the hidden algebra slNsl_N, and they are of two types -- containing up to NN (infinitely-many eigenstates are known, but not all) and up to 6 body interactions only (a finite number of eigenstates is known). Both types degenerate to the Calogero model.

Keywords

Cite

@article{arxiv.hep-th/9606092,
  title  = {Quasi-Exactly-Solvable Many-Body Problems},
  author = {A. Minzoni and M. Rosenbaum and A. Turbiner},
  journal= {arXiv preprint arXiv:hep-th/9606092},
  year   = {2009}
}

Comments

11 pages, LaTeX; a slight revision of statements made, one reference added, typos corrected; to appear in MPLA