Dislocations of arbitrary topology in Coulomb eigenfunctions

• Alberto Enciso ^[1] ; David Hartley ^[1] ; Daniel Peralta-Salas ^[1]
  1. [1] Consejo Superior de Investigaciones Científicas

     Consejo Superior de Investigaciones Científicas

     Madrid, España

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 3, 2018, págs. 1361-1371
• Idioma: inglés
• DOI: 10.4171/RMI/1026
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.