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For example, for Heisenberg spin chains, where the z component of the total magnetization S tot z is conserved, M would be the number of overturned spins starting from a fully ferromagnetic reference state.
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22
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Note
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This is correct as long as a degree of flexibility is maintained in what we mean with a wavefunction of Bethe ansatz form. An example that comes to mind is the Heisenberg spin chain at roots of unity (Refs.), where a complete set of states includes wavefunctions which can be viewed as given by the derivative of a Bethe ansatz.
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27
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U (2) symmetry in the case of the isotropic chain, and the loop algebra symmetry for the gapless chain at roots of unity] and can be treated in the ABACUS logic by, for example, introducing additional levels.
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29
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Note
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Such pictorial representations of quantum numbers and of their movement when scanning through the set of eigenstates are reminiscent of a traditional ABACUS and suggested the name of the library.
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32
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70349701140
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For the specific case of the one-dimensional Bose gas, a different convention is used, in which sectors 1/3 and 2/0 are permuted.
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