Haldane Gap Related Energy States in Spin s = 1 Linear ChainHeisenberg Antiferromagnet

Some fundamental properties are found for the singlet ground state and lowest triplet excited state in the spin s = 1 linear chain Heisenberg antiferromagnet with arbitrary chain length. The influence of the anisotropic term on these states is evaluated by spin polarization on the site of the chain. The energy levels based on these analyses are in good agreement with the experimental spectroscopes.