Autor: Smilansky, U. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Scattering from a Ring Graph - A~Simple Model for the Study of Resonances
Autorzy:: Waltner, D.
Smilansky, U.
Powiązania:: https://bibliotekanauki.pl/articles/1399052.pdf
Data publikacji:: 2013-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 05.40.Ca
05.45.Mt
03.65.Sq
02.10.Ox
Opis:: Scattering from the very simple ring graph is shown to display several basic features which underlie the complex (chaotic) phenomena observed in scattering from more complex graphs. In particular we demonstrate the appearance of arbitrarily narrow resonances - the "topological resonances" which are directly linked to the existence of cycles. We use the ring graph to study the response of such resonances to perturbations induced by a time-dependent random noise.
Źródło:: Acta Physica Polonica A; 2013, 124, 6; 1087-1090
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: The Probability Distribution of Spectral Moments for the Gaussian β-Ensembles
Autorzy:: Maciążek, T.
Joyner, C.
Smilansky, U.
Powiązania:: https://bibliotekanauki.pl/articles/1400562.pdf
Data publikacji:: 2015-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Opis:: We derive the joint probability distribution of the first two spectral moments for the Gaussian β-ensemble random matrix ensembles in N dimensions for any N. This is achieved by making use of two complementary invariants of the domain in $\mathbb{R}^N$ where the spectral moments are defined. Our approach is significantly different from those employed previously to answer related questions and potentially offers new insights. We also discuss the problems faced when attempting to include higher spectral moments.
Źródło:: Acta Physica Polonica A; 2015, 128, 6; 983-989
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Note on the Role of Symmetry in Scattering from Isospectral Graphs and Drums
Autorzy:: Band, R.
Sawicki, A.
Smilansky, U.
Powiązania:: https://bibliotekanauki.pl/articles/1492456.pdf
Data publikacji:: 2011-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Opis:: We discuss scattering from pairs of isospectral quantum graphs constructed using the method described in the papers of Parzanchevski, Band and Ben-Shach. It was shown in the paper of Band et al. that scattering matrices of such graphs have the same spectrum and polar structure, provided that infinite leads are attached in a way which preserves the symmetry of isospectral construction. In the current paper we compare this result with the conjecture put forward by Okada et al. that the pole distribution of scattering matrices in the exterior of isospectral domains in $\mathbb{R}^{2}$ is different.
Źródło:: Acta Physica Polonica A; 2011, 120, 6A; A-149-A-153
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Edge Switching Transformations of Quantum Graphs
Autorzy:: Aizenman, M.
Schanz, H.
Smilansky, U.
Warzel, S.
Powiązania:: https://bibliotekanauki.pl/articles/1030017.pdf
Data publikacji:: 2017-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 05.45.Mt
02.10.Ox
Opis:: Discussed here are the effects of basics graph transformations on the spectra of associated quantum graphs. In particular it is shown that under an edge switch the spectrum of the transformed Schrödinger operator is interlaced with that of the original one. By implication, under edge swap the spectra before and after the transformation, denoted by {Eₙ}^{∞}ₙ₌₁ and {Ẽₙ}^{∞}ₙ₌₁ correspondingly, are level-2 interlaced, so that Eₙ-₂ ≤ Ẽₙ ≤ Eₙ₊₂. The proofs are guided by considerations of the quantum graphs' discrete analogs.
Źródło:: Acta Physica Polonica A; 2017, 132, 6; 1699-1703
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

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