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

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

Quantum Physics 2007-05-23 v1

Authors: Jing-Ling Chen , Mo-Lin Ge , Kang Xue , Xian-Geng Zhao

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.

Keywords

XXX-Heisenberg model Haldane-Shastry model shift operators spin-chain models energy spectra

Cite

@article{arxiv.quant-ph/0012013,
  title  = {A Unified Treatment for XXX-Heisenberg Model and Haldane-Shastry Model Using Shift Operators},
  author = {Jing-Ling Chen and Mo-Lin Ge and Kang Xue and Xian-Geng Zhao},
  journal= {arXiv preprint arXiv:quant-ph/0012013},
  year   = {2007}
}

Comments

26 pages, Latex file, Submitted to J. Phys. A

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

Abstract

Keywords

Cite

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