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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
Approximation of quantum graph vertex couplings by scaled Schrodinger operators on thin branched manifolds
We discuss approximations of vertex couplings of quantum graphs using families non-trivial vertex couplings. The latter include not only the delta-couplings but also those with wavefunctions discontinuous ...
BE - Teoretická fyzika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Approximation of a general singular vertex coupling in quantum graphs
The longstanding open problem of approximating all singular vertex couplings in a quantum graph is solved. We present a construction in which the edges are decoupled, the limit can yield any prescribed Singular vertex c...
BE - Teoretická fyzika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Approximations of Quantum-Graph Vertex Couplings by Singularly Scaled Rank-One Operators
We investigate approximations of the vertex coupling on a star-shaped graph by families of operators with singularly scaled rank-one interactions. We find a family of vertex couplings, generalizing the delta'-inter...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Vertex coupling interpolation in quantum chain graphs
We analyze the band spectrum of the periodic quantum graph in the form of a chain of rings connected by line segments with the vertex coupling which violates the time reversal invariance, interpolating between the delta coupling...
Applied mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Approximations of Singular Vertex Couplings in Quantum Graphs
We discuss approximations of the vertex coupling on a star-shaped quantum graph at the vertex and no edge-permutation symmetry is present. It is shown that the Cheon-Shigehara technique using d interactions with nonlinearly...
BE - Teoretická fyzika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Cairo lattice with time-reversal non-invariant vertex couplings
. The used vertex coupling violates the time reversal invariance and its high-energy behavior depends on the vertex degree parity; in the considered example both odd this is not the case, the zero limit of the length parame...
Applied mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A family of quantum graph vertex couplings interpolating between different symmetries
The paper discusses quantum graphs with the vertex coupling which interpolates between the common one of the delta type and a coupling introduced recently by two of the authors which exhibits a preferred orientation. Descri...
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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
Optimization of Frequency Filters via VERTEX Graphs
A method of systematic investigation of the influence of element parameters on the desired properties of a linear dynamical system ?frequency filter in particular ? is described. The couplings among the element parameters are examined by mea...
JA - Elektronika a optoelektronika, elektrotechnika
- 2001 •
- D
Rok uplatnění
D - Stať ve sborníku
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