9 citations · 26 across the 7 of their papers we have counts for
5 papers · 1 filter
Periodic spectrum of -cubic quantun graphs
Chun-Kong Law, Yu-Chun Luo, Tui-En Wang
We study the spectrum of some periodic differential operators, in particular the periodic Schrödinger operator acting on infinite -cubic graphs. Using Floquet-Bloch theory, we d…
Dispersion relations of periodic quantum graphs associated with Archimedean tilings (II)
Yu-Chen Luo, Eduardo O. Jatulan, Chun-Kong Law
We continue the work of a previous paper \cite{LJL} to derive the dispersion relations of the periodic quantum graphs associated with the remaining 5 of the 11 Archimedean tilings,…
Dispersion relations of periodic quantum graphs associated with Archimedean tiling (I)
Yu-Chen Luo, Eduardo O. Jatulan, Chun-Kong Law
There are totally 11 kinds of Archimedean tiling for the plane. Applying the Floquet-Bloch theory, we derive the dispersion relations of the periodic quantum graphs associated with…
A solution to an Ambarzumyan problem on trees
C. K. Law, Eiji Yanagida
We consider the Neumann Sturm-Liouville problem defined on trees such that the ratios of lengths of edges are not necessarily rational. It is shown that the potential function of t…
A further note on the inverse nodal problem and Ambarzumyan problem for the p-Laplacian
Y. H. Cheng, C. K. Law, Wei-Cheng Lian +1
In this note, we extend some results in a previous paper on the inverse nodal problem and Ambarzumyan problem for the p-Laplacian to periodic or anti-periodic boundary conditions,…