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

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

2000-12-03

arxiv.org/abs/quant-ph/0012013v1

Physics

Quantum Physics

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

Scientific paper

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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