Resumen de Dislocations of arbitrary topology in Coulomb eigenfunctions

Alberto Enciso, David Hartley, Daniel Peralta Salas

• 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.