For potentials that are, far from the origin, functions of distance to a conical surface, the Schrödinger operator has infinitely many eigenvalues below its essential spectrum and their counting function behaves like a geometric constant times |log E|.
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Attractive conical surfaces create infinitely many bound states
For potentials that are, far from the origin, functions of distance to a conical surface, the Schrödinger operator has infinitely many eigenvalues below its essential spectrum and their counting function behaves like a geometric constant times |log E|.