Dislocations of arbitrary topology in Coulomb eigenfunctions

  • Alberto Enciso

    Consejo Superior de Investigaciones Científicas, Madrid, Spain
  • David Hartley

    Consejo Superior de Investigaciones Científicas, Madrid, Spain
  • Daniel Peralta-Salas

    Consejo Superior de Investigaciones Científicas, Madrid, Spain

Abstract

For any finite link in 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 . This problem goes back to Berry, who constructed such eigenfunctions in the case where is the trefoil knot or the Hopf link and asked the question about the general result.

Cite this article

Alberto Enciso, David Hartley, Daniel Peralta-Salas, Dislocations of arbitrary topology in Coulomb eigenfunctions. Rev. Mat. Iberoam. 34 (2018), no. 3, pp. 1361–1371

DOI 10.4171/RMI/1026