Wszystkie pola: Quantum graphs - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Inverse Problems for Quantum Graphs: Recent Developments and Perspectives
Autorzy:: Kurasov, P.
Powiązania:: https://bibliotekanauki.pl/articles/1492443.pdf
Data publikacji:: 2011-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 03.65.Nk
73.63.-b
85.35.-p
Opis:: An introduction into the area of inverse problems for the Schrödinger operators on metric graphs is given. The case of metric finite trees is treated in detail with the focus on matching conditions. For graphs with loops we show that for almost all matching conditions the potential on the loop is not determined uniquely by the Titchmarsh-Weyl function. The class of all admissible potentials is characterized.
Źródło:: Acta Physica Polonica A; 2011, 120, 6A; A-132-A-141
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On the Inverse Problem for Quantum Graphs with One Cycle
Autorzy:: Kurasov, P.
Powiązania:: https://bibliotekanauki.pl/articles/1585121.pdf
Data publikacji:: 2009-11
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 03.65.Nk
73.63.-b
85.35.-p
Opis:: Quantum graphs having one cycle are considered. It is shown that if the cycle contains at least three vertices, then the potential on the graph can be uniquely reconstructed from the corresponding Titchmarsh-Weyl function (Dirichlet-to-Neumann map) associated with graph's boundary, provided certain non-resonant conditions are satisfied.
Źródło:: Acta Physica Polonica A; 2009, 116, 5; 765-771
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Pseudo-Orbit Expansion for the Resonance Condition on Quantum Graphs and the Resonance Asymptotics
Autorzy:: Lipovský, J.
Powiązania:: https://bibliotekanauki.pl/articles/1189973.pdf
Data publikacji:: 2015-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 03.65.Ge
03.65.Nk
02.10.Ox
Opis:: In this note we explain the method how to find the resonance condition on quantum graphs, which is called pseudo-orbit expansion. In three examples with standard coupling we show in detail how to obtain the resonance condition. We focus on non-Weyl graphs, i.e. the graphs which have fewer resonances than expected. For these graphs we explain benefits of the method of "deleting edges" for simplifying the graph.
Źródło:: Acta Physica Polonica A; 2015, 128, 6; 968-973
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Experimental Determination of the Autocorrelation Function of Level Velocities for Microwave Networks Simulating Quantum Graphs
Autorzy:: Ławniczak, M.
Borkowska, A.
Hul, O.
Bauch, S.
Sirko, L.
Powiązania:: https://bibliotekanauki.pl/articles/1492514.pdf
Data publikacji:: 2011-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 05.45.Mt
03.65.Nk
Opis:: The autocorrelation function c(x) of level velocities is studied experimentally. The measurements were performed for microwave networks simulating quantum graphs. One and two ports measurements of the scattering matrix Ŝ necessary for determining c(x) were realized for the networks possessing 5 and 6 vertices, respectively. The network with six vertices was fully connected. In the case of the networks with five vertices, additionally to the fully connected configuration, we measured the networks without the bond connecting input/output vertices. The obtained experimental results besides the autocorrelation function of level velocities, also the nearest-neighbor spacing distribution and parametric velocities distribution are compared to the predictions of random matrix theory and numerical results.
Źródło:: Acta Physica Polonica A; 2011, 120, 6A; A-185-A-190
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

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