Braid Structure and Raising-Lowering Operator Formalism in Sutherland Model

Akira Takamura; Ken'ichi Takano

doi:10.1088/0305-4470/31/25/002

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arXiv · solv-int/9802001

Braid Structure and Raising-Lowering Operator Formalism in Sutherland Model

Akira Takamura·Ken'ichi Takano

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Abstract

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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Akira Takamura, Ken'ichi Takano. 1998-05-03. Braid Structure and Raising-Lowering Operator Formalism in Sutherland Model. https://doi.org/10.1088/0305-4470%2F31%2F25%2F002

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