2023
DOI: 10.1007/s11005-023-01648-0
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A regularity result for the bound states of N-body Schrödinger operators: blow-ups and Lie manifolds

Abstract: We prove regularity estimates in weighted Sobolev spaces for the $$L^2$$ L 2 -eigenfunctions of Schrödinger-type operators whose potentials have inverse square singularities and uniform radial limits at infinity. In particular, the usual N-body Hamiltonians with Coulomb-type singular potentials are covered by our result: in that case, the weight is "Equation missing", where "Equation missing" is the usual Euclidean di… Show more

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