- Tytuł:
- Aspects of Integrability in a Classical Model for Non-Interacting Fermionic Fields
- Autorzy:
-
Grosse-Holz, S.
Engl, T.
Richter, K.
Urbina, J. - Powiązania:
- https://bibliotekanauki.pl/articles/1189959.pdf
- Data publikacji:
- 2015-12
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
03.65.Sq
05.45.Mt
67.85.-d
72.15.Rn - Opis:
- In this work we investigate the issue of integrability in a classical model for non-interacting fermionic fields. This model is constructed via classical-quantum correspondence obtained from the semiclassical treatment of the quantum system. Our main finding is that the classical system, contrary to the quantum system, is not integrable in general. Regarding this contrast it is clear that in general classical models for fermionic quantum systems have to be handled with care. Further numerical investigation of the system showed that there may be islands of stability in the phase space. We also investigated a similar model that is used in theoretical chemistry and found this one to be most probably integrable, although also here the integrability is not assured by the quantum-classical correspondence principle.
- Źródło:
-
Acta Physica Polonica A; 2015, 128, 6; 994-1001
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł