Dislocations of arbitrary topology in Coulomb eigenfunctions

Authors

Alberto Enciso, Institute of Mathematical Sciences
David James Hartley, Institute of Mathematical SciencesFollow
Daniel Peralta-Salas, Institute of Mathematical Sciences

RIS ID

130036

Publication Details

Enciso, A., Hartley, D. James. & Peralta-Salas, D. (2018). Dislocations of arbitrary topology in Coulomb eigenfunctions. Revista Matematica Iberoamericana, 34 (3), 1361-1371.

Abstract

For any finite link L in R3 we prove the existence of a complex-valued eigenfunction of the Coulomb Hamiltonian such that its nodal set contains a union of connected components diffeomorphic to L. This problem goes back to Berry, who constructed such eigenfunctions in the case where L is the trefoil knot or the Hopf link and asked the question about the general result.