Excited States of Calogero-Sutherland-Moser Model —Classification by Young Diagrams

Abstract

The eigenvalue problem is solved exactly for the excited states of the Calogero-Sutherland-Moser model. The Young diagrams play an essential role in deriving solutions. Each eigenfunction, which is an irreducible representation of the λ-deformed symmetry group, is characterized by the corresponding Young diagram.