dorsal/arxiv
View SchemaBraid Structure and Raising-Lowering Operator Formalism in Sutherland Model
| Authors | Akira Takamura, Ken'ichi Takano |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9802001 |
| URL | https://arxiv.org/abs/solv-int/9802001 |
| DOI | 10.1088/0305-4470/31/25/002 |
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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"abstract": "We algebraically construct the Fock space of the Sutherland model in terms of\nthe eigenstates of the pseudomomenta as basis vectors. For this purpose, we\nderive the raising and lowering operators which increase and decrease\neigenvalues of pseudomomenta. The operators exchanging eigenvalues of two\npseudomomenta have been known. All the eigenstates are systematically produced\nby starting from the ground state and multiplying these operators to it.",
"arxiv_id": "solv-int/9802001",
"authors": [
"Akira Takamura",
"Ken\u0027ichi Takano"
],
"categories": [
"solv-int",
"cond-mat",
"nlin.SI"
],
"doi": "10.1088/0305-4470/31/25/002",
"title": "Braid Structure and Raising-Lowering Operator Formalism in Sutherland Model",
"url": "https://arxiv.org/abs/solv-int/9802001"
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