Magnetic Pentagonal Ring - Galois Extensions and Crystallography

被引:0
|
作者
Labuz, M. [1 ]
Lulek, T. [2 ,3 ]
机构
[1] Univ Rzeszow, Fac Math & Nat Sci, Dept Theoret Phys, S Pigonia 1, PL-35310 Rzeszow, Poland
[2] Adam Mickiewicz Univ, Fac Phys, Umultowska 85, PL-61614 Poznan, Poland
[3] Univ Rzeszow, Fac Math & Nat Sci, Dept Expt Phys, S Pigonia 1, PL-35310 Rzeszow, Poland
关键词
D O I
10.12693/APhysPolA.132.97
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 Z(2) x Z(2), responsible for extension of the cyclotomic field by the Bethe parameters.
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页码:97 / 99
页数:3
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