Temat: 02.10.De - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Singularities of Bethe Ansatz via Robinson Numbers
Autorzy:: Koper, A.
Krasoń, P.
Milewski, J.
Powiązania:: https://bibliotekanauki.pl/articles/1030388.pdf
Data publikacji:: 2018-03
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 75.10.Jm
02.40.Xx
02.10.De
85.75.Ff
Opis:: In this work we suggest a rigorous mathematical approach for explanation of singular solutions of Bethe Ansatz by means of Robinson complex hypernumbers. There are several approaches towards these singular solutions eg. formal infinitesimals or germs of meromorphic functions. Our aim is to make them precise using non-standard analysis and show that they are essentially equivalent.
Źródło:: Acta Physica Polonica A; 2018, 133, 3; 438-440
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Magnetic Pentagonal Ring - Galois Extensions and Crystallography
Autorzy:: Labuz, M.
Lulek, T.
Powiązania:: https://bibliotekanauki.pl/articles/1033704.pdf
Data publikacji:: 2017-07
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 75.10.Jm
03.65.Fd
03.67.Lx
02.10.Ud
02.10.De
Opis:: 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.
Źródło:: Acta Physica Polonica A; 2017, 132, 1; 97-99
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Some New Approaches of the XXX Heisenberg Model of the Two-Magnon Sector
Autorzy:: Łabuz, M.
Milewski, J.
Lulek, T.
Powiązania:: https://bibliotekanauki.pl/articles/1030760.pdf
Data publikacji:: 2018-03
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 75.10.Jm
03.65.Fd
03.67.Lx
02.10.Ud
02.10.De
Opis:: XXX Heisenberg s-1/2 model has been examined in detail during last decades, however, recently one may find some new insights into that issue. Among several approaches describing the eigenproblem for the finite case, a close look into the structure of Bethe equations (BE) for the two-magnon sector case seems to be particularly interesting. BE enable us to evaluate parameters labeling eigenstates of a magnet, however to find appropriate sets of winding numbers, which parametrize BE, one has to apply the Inverse Bethe Ansatz method. On the other hand, one may choose a different - combinatoric approach - which also parametrizes Bethe eigenstates, with the use of rigging numbers describing string configurations. We present an idea of comparison of the concepts mentioned above for the particular case of two-spin deviations sector.
Źródło:: Acta Physica Polonica A; 2018, 133, 3; 444-446
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Point Group Interpretation of Galois Symmetry of Bethe Ansatz Solutions of Magnetic Pentagonal Ring
Autorzy:: Lulek, B.
Lulek, T.
Łabuz, M.
Milewski, J.
Powiązania:: https://bibliotekanauki.pl/articles/1385546.pdf
Data publikacji:: 2015-02
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 75.10.Jm
03.65.Fd
03.67.Lx
02.10.Ud
02.10.De
Opis:: 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.
Źródło:: Acta Physica Polonica A; 2015, 127, 2; 336-338
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Heisenberg and Bethe Field Extensions Applied to Magnetic Rings
Autorzy:: Banaszak, G.
Blinkiewicz, D.
Krasoń, P.
Milewski, J.
Powiązania:: https://bibliotekanauki.pl/articles/1030418.pdf
Data publikacji:: 2018-03
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 02.10.De
03.65
73.21.-b
75.10.Jm
85.35.Be
89.70.Be
Opis:: We consider striking connections between the theory of homogenous isotropic Heisenberg ring (XXX-model) and algebraic number theory. We explain the nature of these connections especially applications of Galois theory for computation of the spectrum of the Heisenberg operators and Bethe parameters. The solutions of the Heisenberg eigenproblem and Bethe Ansatz generate interesting families of algebraic number fields. Galois theory yields additional symmetries which not only simplify the analysis of the model but may lead to new applications and horizons.
Źródło:: Acta Physica Polonica A; 2018, 133, 3; 441-443
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja