Braid Structure and Raising-Lowering Operator Formalism in Sutherland Model

Details Braid Structure and Raising-Lowering Operator Formalism in Sutherland Model Braid Structure and Raising-Lowering Operator Formalism in Sutherland Model

1998-01-30

arxiv.org/abs/solv-int/9802001v2

Physics

Condensed Matter

11 pages, Latex, no figures

Scientific paper

10.1088/0305-4470/31/25/002

We algebraically construct the Fock space of the Sutherland model in terms of the eigenstates of the pseudomomenta as basis vectors. For this purpose, we derive the raising and lowering operators which increase and decrease eigenvalues of pseudomomenta. The operators exchanging eigenvalues of two pseudomomenta have been known. All the eigenstates are systematically produced by starting from the ground state and multiplying these operators to it.

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