The energy spectrum symmetry of Heisenberg model in Fock space

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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Revising version, 7 preprint pages, no figures; Published version contains some revisions in Language

Scientific paper

10.1088/0256-307X/23/9/053

We prove strictly that one dimension spin 1/2 Heisenberg model has a symmetry
of energy spectrum between its subspace $n$ and the subspace $L-n$ of the Fock
space. Our proof is completed by introducing two general quantum operations.
One is a flip operation of spin direction and another is a mirror reflection of
spin sites.

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