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Home  >  Volume 22 (2012)

Symmetry Considerations in the Exact Diagonalization of Heisenberg Spin Chains by Ehika S., 1Ataman O. J. and 2Idiodi J.O.A. Volume 22 (November, 2012), pp 9 – 20
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This paper presents a more practical approach, with no reference to group theory terminology on the use of symmetries in the exact diagonalization of Heisenberg spin systems. From the knowledge of these symmetries, a simplified version of the Heisenberg model is obtained. This simplification helps to solve the problem of applying the Heisenberg model to all the basis states in a finite system.  Here, one dimensional lattices are considered.