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Matrix realization of dual quaternionic electromagnetism

100%
Demir S.
Open Physics
|
2007
|
vol. 5
|
issue 4
487-506
EN
In this paper, a new representational model based on dual quaternionic matrices is proposed for classical electromagnetism. After demonstrating the isomorphic matrix representations of dual quaternions, Maxwell’s equations and the constitutive relations for electromagnetism are expressed in terms of dual quaternionic matrices. For this purpose, new 8 × 8 matrices connected with quaternion basis elements have been introduced.
2
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Magnetic Pentagonal Ring - Galois Extensions and Crystallography

64%
Labuz M., Lulek T.
Acta Physica Polonica A
|
2017
|
vol. 132
|
issue 1
97-99
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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