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Energy Spectrum Symmetry of Heisenberg Model in Fock Space

2005/05/31 by Wang An-Min, An Min Wang, Rengui Zhu +1
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #cond-mat.str-el #cond-mat.supr-con #quant-ph

paper · pdf · doi:10.1088/0256-307x/23/9/053

published as Chinese Phys. Lett. 23 (2006)p2542 · Revising version, 7 preprint pages, no figures; Published version contains some revisions in Language

arxiv created 2005/10/08 · openalex publication_date 2006/09/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We extend the BCS paring model with equally spaced energy levels to a general one-dimensional spin-1/2 Heisenberg model. The two well-known symmetries of the Heisenberg model, i.e. permutational and spin-inversion symmetries, no longer exist. However, when jointing these two operations together, we find a new symmetry of energy spectrum between its subspace n and subspace L − n of the Fock space. A rigorous proof is presented.

Citations