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12 362 (0,194s) •

Result

TiRS graphs and TiRS frames: a new setting for duals of canonical extensions

In the paper properties of the graphs that arise as duals of bounded lattices. A new concept of TiRS graphs which abstract those duals of bounded lattices is introduced. A one-to-one correspondence is proved betwee...

BA - Obecná matematika

  • 2015
    • •
  • Jx
Result

Inverse problems for locally perturbed lattices – Discrete Hamiltonian and quantum graph

operators on locally perturbed periodic lattices. For the discrete Hamiltonian, the knowledge of the S-matrix for all energies determines the graph structure and the coefficients of the Hamiltonian. For locally perturbed equilatera...

Applied mathematics

  • 2024
    • •
  • JSC
    • •
  • Link
Result

Approximations by Graphs and Emergence of Global Structures

We study approximations of billiard systems by lattice graphs. It is demonstrated that under natural assumptions the graph wave functions approximate solutions of the Schrödinger equation with energy rescaled by the billiar...

BE - Teoretická fyzika

  • 2006
    • •
  • Jx
Result

Distinguishing Subsets of Lattices

Distinguishing Subsets of Lattices are considered...

BA - Obecná matematika

  • 2008
    • •
  • D
Result

The graphs of join-semilattices and the shape of congruence lattices of particle lattices

to the lattice of all hereditary subsets of the corresponding graph that are closedWe attach to each < 0, V >-semilattice S a graph G(S) whose vertices dependency relation. We study properties of the graph G...

Pure mathematics

  • 2017
    • •
  • Jimp
    • •
  • Link
Result

Quantum graphs with vertices of a preferred orientation

Motivated by a recent application of quantum graphs to model the anomalous Hall effect we discuss quantum graphs the vertices of which exhibit a preferred orientation. We describe an example of such a vertex coupling and analyze the...

Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

  • 2018
    • •
  • Jimp
    • •
  • Link
Result

Gaps in the spectrum of a cuboidal periodic lattice graph

We locate gaps in the spectrum of a Hamiltonian on a periodic cuboidal (and generally hyperrectangular) lattice graph with $delta$ couplings in the vertices. We in a continued fraction associated with the ratio of edge lengths of th...

Applied mathematics

  • 2019
    • •
  • Jimp
    • •
  • Link
Result

Quantum Graphs with Vertices Violating the Time Reversal Symmetry

in the high-energy regime by the graph topology. We illustrate this effect on examples which involve lattice graphs and loop arrays as well as finite graphs associated with Platonic solids. We also show that trans...

Particles and field physics

  • 2021
    • •
  • Jimp
    • •
  • Link
Result

Bounds for the real number graph labellings and application to labellings of the triangular lattice

We establish new bouns in the framework of real number graph labellings and apply them to determine the optimal spans of distance constrained labellings of the infinite triangular plane grid....

BA - Obecná matematika

  • 2008
    • •
  • Jx
Result

Continuum limit of the lattice quantum graph Hamiltonian

We consider the quantum graph Hamiltonian on the square lattice in Euclidean space, and we show that the spectrum of the Hamiltonian converges to the corresponding Schrodinger operator on the Euclidean space in the continuum limit, ...

Pure mathematics

  • 2022
    • •
  • Jimp
    • •
  • Link
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