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Energy Spectrum Symmetry of Heisenberg Model in Fock Space |
| WANG An-Min;ZHU Ren-Gui |
| Department of Modern Physics and Institute for Theoretical Physics, University of Science and Technology of China, Hefei 230026 |
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| Cite this article: |
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WANG An-Min, ZHU Ren-Gui 2006 Chin. Phys. Lett. 23 2542-2544 |
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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.
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| Keywords:
71.27.+a
03.65.-w
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Published: 01 September 2006
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| PACS: |
71.27.+a
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(Strongly correlated electron systems; heavy fermions)
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03.65.-w
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(Quantum mechanics)
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