The Star graph eigenfunctions with non-zero eigenvalues
Sign Up to like & getrecommendations! Published in 2021 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.09.042
Abstract: Abstract We consider the symmetric group Sym Ω with Ω = { 1 , … , n } for any integer n ⩾ 2 and a set S = { ( 1 i ) ,… read more here.
Keywords: zero eigenvalues; graph eigenfunctions; eigenfunctions non; non zero ... See more keywords
Quantum self-trapping on a star graph.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.044304
Abstract: The attractive Bose-Hubbard model is applied for describing the two-exciton dynamics in a nonlinear quantum star graph. When the excitons are created on the core of the star, it is shown that the interplay between… read more here.
Keywords: nonlinearity; self trapping; quantum self; star graph ... See more keywords
Continuous-time quantum walk on an extended star graph: Trapping and superradiance transition.
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DOI: 10.1103/physreve.97.022304
Abstract: A tight-binding model is introduced for describing the dynamics of an exciton on an extended star graph whose central node is occupied by a trap. On this graph, the exciton dynamics is governed by two… read more here.
Keywords: superradiance transition; time; star graph; graph ... See more keywords
Conjugation Conditions for Systems of Differential Equations of Different Orders on a Star Graph
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DOI: 10.3390/sym14091761
Abstract: In this paper, a one-dimensional mathematical model for investigating the vibrations of structures consisting of elastic and weakly curved rods is proposed. The three-dimensional structure is replaced by a limit graph, on each arc of… read more here.
Keywords: star graph; conjugation conditions; symmetry; systems differential ... See more keywords