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Abstracts
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.
Discipline
Journal
Year
Volume
Issue
Pages
97-99
Physical description
Dates
published
2017-07
Contributors
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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- [7] J. Mozrzymas, Applications of Group Theory in Physics, PWN, Warsaw 1977 (in Polish)
- [8] J. Mozrzymas, ROMP 6, 29 (1974)., doi: 10.1016/0034-4877(74)90049-4
- [8a] J. Mozrzymas, ROMP 6, 83 (1974)., doi: 10.1016/0034-4877(74)90050-0
- [9] B. Lulek, T. Lulek, M. Łabuz, R. Stagraczyński, Physica B 405, 2654 (2010)., doi: 10.1016/j.physb.2010.03.043
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv132n1p23kz