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A Unified Treatment for XXX-Heisenberg Model and Haldane-Shastry Model Using Shift Operators

Jing-Ling Chen·Mo-Lin Ge·Kang Xue·Xian-Geng Zhao
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Abstract

A unified treatment is developed for the XXX-Heisenberg model and a long-ranged interaction model (the $H_2$ in Haldane-Shastry model) from the point of view of shift operators (or raising and lowering operators), based on which the energy spectra of the spin-chain models are determined. Some physical discussions are also made.

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Jing-Ling Chen, Mo-Lin Ge, Kang Xue, Xian-Geng Zhao. 2000-12-03. A Unified Treatment for XXX-Heisenberg Model and Haldane-Shastry Model Using Shift Operators. https://arxiv.org/abs/quant-ph/0012013

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