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Dislocations Of Arbitrary Topology In Coulomb Eigenfunctions, Alberto Enciso, David James Hartley, Daniel Peralta-Salas

Senior Deputy Vice-Chancellor and Deputy Vice-Chancellor (Education) - Papers

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.