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Symmetry Considerations and the Exact Diagonalization of Finite Spin Systems

並列摘要


We have exploited the symmetries of a model spin Hamiltonian to facilitate its block diagonalization for finite system sizes. The simplifications arising from the symmetries are discussed in considerable detail. We also present exact diagonalization results based on a working code written in the programming language of the computer algebra system Waterloo Maple. It should be easy to modify or adapt the code to handle similar models.

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