title: Coulomb potential V(r)=1/r problem on the Bethe lattice.
abstract: We study the problem of a particle hopping on the Bethe lattice in the presence of a Coulomb potential. We obtain an exact solution to the particle's Green's function along with the full energy spectrum. In addition, we present a mapping of a generalized radial potential problem defined on the Bethe lattice to an infinite number of one-dimensional problems that are easily accessible numerically. The latter method is particularly useful when the problem admits no analytical solution.
authors: Max Planck Institute for the Physics of Complex Systems, D-01187 Dresden, Germany.
authors: Olga
authors: O
authors: Petrova
authors: Max Planck Institute for the Physics of Complex Systems, D-01187 Dresden, Germany.
authors: Roderich
authors: R
authors: Moessner