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Some examples of quantum graphs
We summarize different approaches to the theory of quantum graphs and provide graphs on the quantum space M-2. Secondly, we apply the theory of 2-cocycle that produces a quantum graph, which is
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Quantum symmetries of Cayley graphs of abelian groups
We study Cayley graphs of abelian groups from the perspective of quantum symmetries. We develop a general strategy for determining the quantum automorphism groups of such graphs. Applying this procedure, we find th...
Pure mathematics
- 2023 •
- JSC •
- Link
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JSC - Článek v periodiku v databázi SCOPUS
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Approximations of permutation-symmetric vertex couplings in quantum graphs
Approximations of interactions at the vertices of quantum graphs.
BE - Teoretická fyzika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
Inverse Scattering Problem for Quantum Graph Vertices
We demonstrate how the inverse scattering problem of a quantum star graph can be solved by means of diagonalization of the Hermitian unitary matrix when the vertex the constructionof quantum graphs with desired pro...
BE - Teoretická fyzika
- 2011 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Vertex Couplings in quantum Graphs: Approximations by Scaled Schrödinger Operators
We review recent progress in understanding the physical meaning of quantum graph models through analysis of their vertex coupling approximations....
Pure mathematics
- 2011 •
- D
Rok uplatnění
D - Stať ve sborníku
Resonances in quantum graphs
In this article we sum up the results on resonances in quantum graphs. First, we introduce the notion of quantum graph. Then we distinguish two definitions of resonances - resolvent and scattering resonances. Moreo...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Quantum Graphs with Vertices Violating the Time Reversal Symmetry
We discuss quantum graphs with the vertex coupling which violates the time in the high-energy regime by the graph topology. We illustrate this effect on examples which involve lattice graphs and loop arrays as well...
Particles and field physics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Pseudo-Orbit Expansion for the Resonance Condition on Quantum Graphs and the Resonance Asymptotics
on quantum graphs, which is called pseudo-orbit expansion. In three examples on non-Weyl graphs, i.e. the graphs which have fewer resonances than expected. For these graphs we explain benefits of the meth...
BE - Teoretická fyzika
- 2015 •
- D •
- Link
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D - Stať ve sborníku
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Quantum searches on highly symmetric graphs
We study scattering quantum walks on highly symmetric graphs and use the walks to solve search problems on these graphs. The particle making the walk resides on the edges of the graph, and at each time step scatter...
IN - Informatika
- 2009 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Infinite Quantum Graphs
Infinite quantum graphs with delta-interactions at vertices are studied without any assumptions on the lengths of edges of the underlying metric graphs. A connection between spectral properties of a quantum gra...
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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