- Tytuł:
- Nodal Domains in Chaotic Microwave Rough Billiards with and without Ray-Splitting Properties
- Autorzy:
-
Hul, O.
Savytskyy, N.
Tymoshchuk, O.
Bauch, S.
Sirko, L. - Powiązania:
- https://bibliotekanauki.pl/articles/2044609.pdf
- Data publikacji:
- 2006-01
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
05.45.Mt
05.45.Df - Opis:
- We study experimentally nodal domains of wave functions (electric field distributions) lying in the regime of Breit-Wigner ergodicity in the chaotic microwave half-circular ray-splitting rough billiard. Using the rough billiard without ray-splitting properties we also study the wave functions lying in the regime of Shnirelman ergodicity. The wave functions Ψ$\text{}_{N}$ of the ray-splitting billiard were measured up to the level number N=204. In the case of the rough billiard without ray-splitting properties, the wave functions were measured up to N=435. We show that in the regime of Breit-Wigner ergodicity most of wave functions are delocalized in the n, l basis. In the regime of Shnirelman ergodicity wave functions are homogeneously distributed over the whole energy surface. For such wave functions, lying both in the regimes of Breit-Wigner and Shnirelman ergodicity, the dependence of the number of nodal domains Ɲ$\text{}_{N}$ on the level number N was found. We show that in the regimes of Breit-Wigner and Shnirelman ergodicity least squares fits of the experimental data reveal the numbers of nodal domains that in the asymptotic limit N→∞ coincide within the error limits with the theoretical predictionƝ$\text{}_{N}$/N≃ 0.062. Finally, we demonstrate that the signed area distribution Σ$\text{}_{A}$ can be used as a useful criterion of quantum chaos.
- Źródło:
-
Acta Physica Polonica A; 2006, 109, 1; 73-87
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł