Temat: Quantum graphs - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Surgery of Graphs: M-Function and Spectral Gap
Autorzy:: Kurasov, P.
Powiązania:: https://bibliotekanauki.pl/articles/1030010.pdf
Data publikacji:: 2017-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: quantum graphs
spectral theory
Opis:: We discuss behaviour of the spectral gap for quantum graphs when two metric graphs are glued together. It appears that precise answer to this question can be given using a natural generalisation of the Titchmarsh-Weyl M-functions.
Źródło:: Acta Physica Polonica A; 2017, 132, 6; 1666-1671
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Torsion in Cohomology Groups of Configuration Spaces
Autorzy:: Maciążek, T.
Sawicki, A.
Powiązania:: https://bibliotekanauki.pl/articles/1030016.pdf
Data publikacji:: 2017-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: Quantum graphs
quantum statistics
vector bundles
homology groups
Opis:: An important and surprising discovery in physics in the last fifty years is that if quantum particles are constrained to move in two rather than three dimensions, they can in principle exhibit new forms of quantum statistics, called anyons. Although anyons were initially only a theoretical concept, they quickly proved to be useful in explaining one of the most significant discoveries of condensed matter physics in the last century, i.e. fractional quantum Hall effect. Recently, it was shown that particles constrained to move on a graph can exhibit even more exotic forms of quantum statistics, depending on the topology of the graph. In this paper we discuss what possible new quantum signatures of topology may arise when one takes into account more complex topological information, called higher (co)homology groups, which may also be associated with graph configuration spaces. In particular we focus on the significance of a torsion component.
Źródło:: Acta Physica Polonica A; 2017, 132, 6; 1695-1698
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Geometric properties of quantum graphs and vertex scattering matrices
Autorzy:: Kurasov, P.
Nowaczyk, M.
Powiązania:: https://bibliotekanauki.pl/articles/255512.pdf
Data publikacji:: 2010
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: scattering theory
quantum graphs
matching (boundary) conditions
Opis:: Differential operators on metric graphs are investigated. It is proven that vertex matching (boundary) conditions can be successfully parameterized by the vertex scattering matrix. Two new families of matching conditions are investigated: hyperplanar Neumann and hyperplanar Dirichlet conditions. Using trace formula it is shown that the spectrum of the Laplace operator determines certain geometric properties of the underlying graph.
Źródło:: Opuscula Mathematica; 2010, 30, 3; 295-309
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Experimental Study of Quantum Graphs with Simple Microwave Networks: Non-Universal Features
Autorzy:: Fu, Z.
Koch, T.
Antonsen, T.
Ott, E.
Anlage, S.
Powiązania:: https://bibliotekanauki.pl/articles/1030007.pdf
Data publikacji:: 2017-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: Quantum graphs
universal fluctuations
impedance
random coupling model
microwave graphs
Opis:: Quantum graphs provide a setting to test the hypothesis that all ray-chaotic systems show universal wave chaotic properties. Here, an experimental setup consisting of a microwave coaxial cable network is used to simulate quantum graphs. The networks which are large compared to the wavelength, are constructed from coaxial cables connected by T junctions. The distributions of impedance statistics are obtained from experiments on an ensemble of tetrahedral networks. The random coupling model (RCM) is applied in an attempt to uncover the universal statistical properties of the system. Deviations from RCM predictions have been observed in that the statistics of diagonal and off-diagonal impedance elements are different. It is argued that because of the small finite-size quantum graphs utilized here there will be non-universal results.
Źródło:: Acta Physica Polonica A; 2017, 132, 6; 1655-1660
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: On reflectionless equi-transmitting matrices
Autorzy:: Kurasov, P.
Ogik, R.
Rauf, A.
Powiązania:: https://bibliotekanauki.pl/articles/255075.pdf
Data publikacji:: 2014
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: quantum graphs
vertex scattering matrix
equi-transmitting matrices
Opis:: Reflectionless equi-transmitting unitary matrices are studied in connection to matching conditions in quantum graphs. All possible such matrices of size 6 are described explicitly. It is shown that such matrices form 30 six-parameter families intersected along 12 five-parameter families closely connected to conference matrices.
Źródło:: Opuscula Mathematica; 2014, 34, 3; 483-501
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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