20 citations · 49 across the 5 of their papers we have counts for
4 papers · 1 filter
A Fermi golden rule for quantum graphs
Minjae Lee, Maciej Zworski
We present a Fermi golden rule giving rates of decay of states obtained by perturbing embedded eigenvalues of a quantum graph. To illustrate the procedure in a notationally simpler…
Eigenvalues of Šeba billiards with localization of low-energy eigenfunctions
Minjae Lee
We study the localization of eigenfunctions produced by a point scatterer on a thin rectangle. We find an explicit set of eigenfunctions localized to part of the rectangle by showi…
Localization of low-energy eigenfunctions in Seba billiards
Minjae Lee
We investigate localization of low-energy modes of the Laplacian with a point scatterer on a rectangular plate. We observe that the point scatterer acts as a barrier confining the…
Dirac cones for point scatterers on a honeycomb lattice
Minjae Lee
We investigate the spectrum and the dispersion relation of the Schrödinger operator with point scatterers on a triangular lattice and a honeycomb lattice. We prove that the low-lev…