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
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
关键词 ：
71.27.+a ,
03.65.-w
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.
Key words ：
71.27.+a
03.65.-w
出版日期: 2006-09-01
:
71.27.+a
(Strongly correlated electron systems; heavy fermions)
03.65.-w
(Quantum mechanics)
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2006, Vol. 23 
