Quasi-Exactly-Solvable Many-Body Problems
A. Minzoni, M. Rosenbaum, A. Turbiner
Abstract
Explicit examples of quasi-exactly-solvable N-body problems on the line are presented. These are related to the hidden algebra slN, 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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