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2015 | 127 | 2 | 336-338
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Point Group Interpretation of Galois Symmetry of Bethe Ansatz Solutions of Magnetic Pentagonal Ring

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Exact solutions of the eigenproblem of the magnetic pentagonal ring exhibit the arithmetic symmetry expressed in terms of a Galois group of a finite extension of the prime field Q of rationals. We propose here a geometric interpretation of this symmetry in the interior of the Brillouin zone, in terms of point groups. Explicitly, it is a subgroup of the direct product C₄ × D₄. We present also the appropriate irreducible representations of the group.
  • East European State Higher School, T. Terleckiego 6, 37-700 Przemyśl, Poland
  • Faculty of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
  • Department of Theoretical Physics, Faculty of Mathematics and Natural Sciences, University of Rzeszow, S. Pigonia 1, 35-310 Rzeszów, Poland
  • Institute of Mathematics, Poznan University of Technology, Piotrowo 3A, 60-965 Poznań, Poland
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