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Expression (42) describes an eigenstate of (Formula presented) with eigenvalue zero. After an SU(2) rotation we will have (Formula presented) that is an eigenstate of (Formula presented) with zero eigenvalue. Vector (Formula presented) corresponds to the direction of uniaxial nematic
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Expression (42) describes an eigenstate of (Formula presented) with eigenvalue zero. After an SU(2) rotation we will have (Formula presented) that is an eigenstate of (Formula presented) with zero eigenvalue. Vector (Formula presented) corresponds to the direction of uniaxial nematic.
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The operator b applied directly to (Formula presented) takes us outside of the physical Hilbert space since it does not change the symmetry of the (Formula presented) wave function simultaneously with changing the number of particles by one. The physical Hamiltonian, however, will always have this operator b in combination with some odd function of (Formula presented) and will preserve the physical Hilbert space
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The operator b applied directly to (Formula presented) takes us outside of the physical Hilbert space since it does not change the symmetry of the (Formula presented) wave function simultaneously with changing the number of particles by one. The physical Hamiltonian, however, will always have this operator b in combination with some odd function of (Formula presented) and will preserve the physical Hilbert space.
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85037246789
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