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2017 | 132 | 1 | 97-99
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Magnetic Pentagonal Ring - Galois Extensions and Crystallography

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Abstracts
EN
The Galois symmetry of exact Bethe Ansatz eigenstates for magnetic pentagonal ring is shown to bear a close analogy to some crystallographic constructions. Automorphisms of number field extensions associated with these eigenstates prove to be related to choices of the Bravais cells in the finite crystal lattice ℤ₂×ℤ₂, responsible for extension of the cyclotomic field by the Bethe parameters.
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author
  • Department of Theoretical Physics, Faculty of Mathematics and Natural Sciences, University of Rzeszów, S. Pigonia 1, 35-310 Rzeszów, Poland
author
  • Faculty of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
  • Department of Experimental Physics, Faculty of Mathematics and Natural Sciences, University of Rzeszów, S. Pigonia 1, 35-310 Rzeszów, Poland
References
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Document Type
Publication order reference
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bwmeta1.element.bwnjournal-article-appv132n1p23kz
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