On the completeness of the set of Bethe-Hulth´en solutions of the linear Heisenberg system

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Caspers, W.J. and Labuz, M. and Wal, A. (2006) On the completeness of the set of Bethe-Hulth´en solutions of the linear Heisenberg system. Journal of Physics: Conference Series, 30 . pp. 73-85. ISSN 1742-6588

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Abstract:In this work we formulate the standard form of the solutions of the Heisenberg chain with periodic boundary conditions and show that these solutions can be transformed into the well-known Bethe-Hulth´en solutions. The standard form is found by solving the secular problem, separated according to the irreducible representations of the translation group. The relevant parameters exp(ikj) of the Bethe-Hulth´en solutions are found from a set of linear equations with coefficients derived from the standard solutions. This correspondence between standard and Bethe-Hulth´en solutions realizes the completeness of the Bethe-Hulth´en method
Item Type:Article
Copyright:© 2006 Institute of Physics
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Link to this item:http://purl.utwente.nl/publications/57560
Official URL:http://dx.doi.org/10.1088/1742-6596/30/1/011
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