- Tytuł:
- Galois Properties of the Eigenproblem of the Hexagonal Magnetic Heisenberg Ring
- Autorzy:
-
Banaszak, G.
Barańczuk, S.
Lulek, T.
Milewski, J.
Stagraczyński, R. - Powiązania:
- https://bibliotekanauki.pl/articles/1427165.pdf
- Data publikacji:
- 2012-05
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
03.65.Aa
73.21.-b
85.35.Be
89.70.Eg - Opis:
- We analyse the number field-theoretic properties of solutions of the eigenproblem of the Heisenberg Hamiltonian for the magnetic hexagon with the single-node spin 1/2 and isotropic exchange interactions. It follows that eigenenergies and eigenstates are expressible within an extension of the prime field ℚ of rationals of degree $2^3$ and $2^4$, respectively. In quantum information setting, each real extension of rank 2 represents an arithmetic qubit. We demonstrate in detail some actions of the Galois group on the eigenproblem.
- Źródło:
-
Acta Physica Polonica A; 2012, 121, 5-6; 1111-1114
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł