3 citations · 3 across the 5 of their papers we have counts for
Showing 2015Show all
2 papers · 1 filter
math.SP2015
Laplace operators with eigenfunctions whose nodal set is a knot
Alberto Enciso, David Hartley, Daniel Peralta-Salas
We prove that, given any knot in a compact 3-manifold M, there exists a Riemannian metric on M such that there is a complex-valued eigenfunction u of the Laplacian, correspondi…
math-ph2015
A problem of Berry and knotted zeros in the eigenfunctions of the harmonic oscillator
Alberto Enciso, David Hartley, Daniel Peralta-Salas
We prove that, given any finite link L in R^3, there is a high energy complex-valued eigenfunction of the harmonic oscillator such that its nodal set contains a union of connected…