Quasi-Exactly-Solvable Many-Body Problems

Details Quasi-Exactly-Solvable Many-Body Problems Quasi-Exactly-Solvable Many-Body Problems

1996-06-15

arxiv.org/abs/hep-th/9606092v2

Mod.Phys.Lett. A11 (1996) 1977-1984

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217732396001971

Explicit examples of quasi-exactly-solvable $N$-body problems on the line are
presented. These are related to the hidden algebra $sl_N$, and they are of two
types -- containing up to $N$ (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.

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